Arkadiusz Milik's late free-kick saw off Cremonese to extend the Bianconeri's winning run in a 1-0 victory that also marked seven games in a row without conceding.
While Allegri's side have been strong defensively, they have fallen below expectations in the attacking third – scoring just five goals in eight away matches in Serie A this term – and the Juventus coach is aware of the need to improve.
"Juve has a very important squad. At this stage, important young players came out," he told a post-match press conference.
"There are reasons to be happy, there is work to be done and to think that there is only room for improvement. The market is there if needed. At the moment, the Juventus squad is fine like this."
Juventus' hard-fought victory over Cremonese saw Allegri shuffle his deck in the second half, which ultimately proved decisive for Milik's late winner, and he praised the displays of his substitutes.
"We had five difficult minutes, then the game came back into our hands and Milik scored a great goal," he added, "I had important players on the bench and they did well.
"Chiesa came in well, [Adrien] Rabiot the same, [Leandro] Paredes did better as a winger. [Samuel] Iling-Junior came in well, [Moise] Kean, too. These changes on the bench are very important."
Allegri has further reasons to be positive amid the winning run with the quality of players due to return from injury – one of which is World Cup winner Angel di Maria, who has returned to training.
"Today he trained, he looks better," Allegri said, "Angel is extraordinary, he has extraordinary qualities.
"Unfortunately, he has taken this blow and we hope to have him available soon. Like [Paul] Pogba, [Dusan] Vlahovic and [Juan] Cuadrado. Everyone is needed."
Juventus host Udinese on Saturday, before then turning attention to what could be a crucial game on the road against Serie A leaders Napoli the following week.
Juve built on their 1-0 first-leg advantage as Dusan Vlahovic converted a first-half penalty after home defender Manuel Gulde was controversially sent off for handball inside his own area.
Federico Chiesa added a late second after entering the fray as a substitute, as Juventus maintained their bid for a first major continental title since they won the Champions League in 1996.
However, Allegri was displeased with Juventus' performance after Freiburg went down to 10 men, saying the Bianconeri must improve if they are to progress further in the competition.
"The team got a good result as we progressed. We made a lot of mistakes in the second half with our ball handling, and we need to improve," he said at his post-match press conference.
"We can't play a second half like this against a team of 10. We were made to defend our own box. The second half should have been better. We need to work; we made a lot of wrong decisions.
"Against 10 we lowered our attention and pace. The result is good – excellent even – but let's not get excited because we're in the quarter-finals. We have to think about what we did in the second half and improve."
Chiesa's stoppage-time goal – a driven strike which found the net via the foot of the post – was just his second since returning from an anterior cruciate ligament injury in November, and the Italy international is looking to find consistency in the coming weeks.
"My first thought is to be available to the coach. Unfortunately I haven't been there in the last few games," he said. "There's still a bit of discomfort, but I'm working even harder to be more ready.
"Unfortunately my father [former Italy striker Enrico Chiesa] had similar injuries. It's a path of great obstacles to come back, but even after that, the journey continues. I just have to stay calm."
Meanwhile, the decision to send Gulde off after his outstretched arm was struck by Federico Gatti's shot infuriated Freiburg boss Christian Streich, as did a failure to punish Wojciech Szczesny for seemingly picking up a Manuel Locatelli back-pass.
"We were brave, we went for it," the Freiburg boss said. "Then there was the situation with the red card and the penalty. That was of course a difficult situation for us.
"I'm speechless. In both games, after every foul, a Juve player plays the ball away. Always. It's a complete mystery to me.
"Then there's the intentional back-pass that isn't blown. It's difficult to accept. Something that was crucial was let go."
Dybala's fifth-minute strike beat Luigi Sepe at his near post to set the Bianconeri on their way to a routine win, extending their unbeaten run to 16 Serie A games and keeping them within seven points of leaders Milan.
He has now scored eight league goals for Juventus this term, more than any other player (Alvaro Morata also has eight), but the 28-year-old has recently been linked with a move away from Turin.
The Argentine's contract with Juventus is set to expire at the end of the season, and he was reported to have clashed with Allegri over the Bianconeri's training schedule earlier this week.
Speaking after Dybala starred against Serie A's bottom club, the Bianconeri boss was unsure whether he would remain at the club.
"I don't know if he will be a Juventus player or not," Allegri told DAZN. "That's why there is the club, with which I am absolutely in line.
"It is not just Paulo who is about to expire his contract, there are also [Juan] Cuadrado, [Federico] Bernardeschi, [Mattia] De Sciglio.
"On my part and on the part of the team, there is only the will to do well now. I give evaluations of the players, but then there are also contracts and many other things to see."
Despite being unsure as to where the forward's future lay, Allegri was adamant that the pair have maintained a positive relationship.
"The relationship with Dybala and all the other players is good," the Bianconeri coach added.
"There are disagreements, exchanges of opinions, and I am quite direct in things. The players have to perform on the pitch, and they have to know that they have my respect, regardless.
"Paulo arrived as a child from Palermo, then he grew up and became a great player."
Dybala was joined on the scoresheet by Dusan Vlahovic after 28 minutes.
The Serbia international's 21st Serie A goal of the campaign put him level with Adem Ljajic as the second-highest goalscorer from his nation in Italian top-flight history; his tally of 48 putting him just three behind Dejan Stankovic (51).
Allegri was keen to emphasise the importance of Vlahovic at the spearhead of his attack, but said the league's leading marksman still had room to improve.
"He played a good game," Allegri said of the 22-year-old. "He's an important point of reference, then he comes back and covers.
"Like everyone, I talk to him often, he needs to improve a lot on the cleanliness of the game. He knows this, and we are working on it."
Juventus have taken 35 points from their last 15 league games to give themselves an outside shot of the Serie A title, having taken just 24 points from their first 15 this season.
Edinburgh were on course for just a third victory of the campaign at half-time after they responded to Luke Donnelly’s fifth-minute opener with goals from Malik Zaid and Frankie Deane.
But Scott Taggart’s second-half brace, a Taylor Steven strike and a late Callum Pitt own goal earned Alloa a seventh win in their last eight games that moved them up to third.
Alloa remain 11 points behind second-placed Hamilton, who eased to a 3-0 win over Stirling.
Ahkeem Rose’s 16th-minute penalty was saved by Blair Currie, but the hosts soon took the lead through Kevin O’Hara.
Rose headed in a second seven minutes into the second half and Jake Hastie wrapped up a third straight win in stoppage time.
Montrose slipped to fourth despite Ali Shrive’s late equaliser earning a 1-1 draw at home to lowly Annan, who took the lead through Lewis Hunter.
Cove Rangers moved to within three points of the play-off places as Mitch Megginson’s 52nd-minute free-kick earned a 1-0 win at Kelty Hearts.
In League Two, Stenhousemuir continued their stumble to the title with a 1-1 draw at in-form Forfar.
James Berry gave the visitors a lead, but Adam Hutchinson’s 86th-minute equaliser extended Forfar’s unbeaten run to 10 games.
Stenhousemuir have won just one of their last six matches, but they remain 15 points clear at the top after Peterhead drew 1-1 against East Fife.
Peter Pawlett put Peterhead ahead just before the half-hour mark, but Alan Trouten equalised 13 minutes into the second half to extend the Fifers’ unbeaten run to six games.
Bottom club Clyde moved to within three points of safety as Jordan Allan’s second-half brace earned them a huge 2-1 win at Bonnyrigg Rose.
Smart Osadolor had put the hosts 1-0 up inside the first minute, but they sit just three points clear of danger after their winless streak was extended to seven games.
Stranraer remain below Bonnyrigg Rose on goal difference after their 2-1 defeat to Elgin.
Dylan Forrest saw red for Stranraer after receiving a second booking and goals from Connall Ewan and Freddy Jeffreys were enough for Elgin, despite Deryn Lang’s late strike.
Dumbarton moved above Spartans into third with a 6-2 away win.
Ryan Blair’s free-kick gave Dumbarton a fifth-minute lead, but Cameron Russell levelled.
Aron Lynas restored the visitors’ advantage in the 32nd minute and Gallagher Lennon, son of former Celtic and Hibernian boss Neil, added a third.
Bradley Whyte pulled one back in the last minute of the first half, but Blair struck with another free-kick before Michael Ruth and James Graham added further goals.
Xabi Alonso confirmed Boniface's absence on Tuesday, just two days after the forward was a passenger in a car involved in a crash.
Boniface had scored the winner in Saturday's 2-1 win over Eintracht Frankfurt but sustained minor injuries to his hand and foot in the incident.
Alonso said the Nigeria international still needed some time to recover from the shock in the aftermath.
"He is not in the squad. After what happened, it's also a precautionary measure," Alonso told a press conference.
"He's missing for health reasons. He has a small wound on his hand, a small cut on his right foot. But the shock is bigger.
"Physically he is better but it is also an emotional issue. He feels good but he is not ready for tomorrow," Alonso said.
Boniface has scored seven goals across all competitions, including one in the Champions League.
Thankfully for Leverkusen, Alonso said he did not expect Boniface to be sidelined for too long before what could be an entertaining European clash.
Brest and Leverkusen have both won their opening two matches in the league phase of the competition.
Leverkusen are aiming for three straight Champions League wins for the fifth time, while this could be the second time they have done so in their opening three games of a campaign since 2001-02, going on to reach that season's final.
Florian Wirtz's brace along with Alex Grimaldo's strike and Timon Wellenreuther's own-goal handed Leverkusen a comfortable advantage at the break.
The Bundesliga champions netted four goals in the first half of a game in a major European competition for just the third time after doing so twice in 1994 against PSV Eindhoven (4-2 HT) and GKS Katowice (4-0 HT).
Alonso's side also became the first away team to lead by four goals at half-time of a Champions League game since Bayern Munich led 4-0 at Viktoria Plzen in 2022.
Despite the scoreline suggesting a comfortable outing for Leverkusen, Alonso credited his side's disciplined performance in a goalless second period.
"We were not lucky, but efficient in the first minutes. We needed a bit more control on the build-up to find the free spaces," Alonso said.
"We have good players who understand what the game requires. They are flexible.
"We need to have those registers... be flexible during the game."
Leverkusen's triumph saw them record their joint-biggest win in the Champions League (4-0 vs. Shakhtar Donetsk in October 2013).
It was also their biggest victory away from home in any European competition since beating Celtic 4-0 in the 2021-22 Europa League.
Alonso's side return to Bundesliga action this weekend when they welcome Wolfsburg to the BayArena on Sunday.
The Germany international scored two goals in the match and was named player of the match for the fourth time in five games in the Champions League this season.
The result and performance came at an opportune time for Leverkusen, who were off the back of a 4-0 defeat to Liverpool and 1-1 draw at Brest.
Following the win, they currently occupy fifth in the 36-team league, while Wirtz is equal-second in the top goalscorers with five goals.
"We want to help Florian Wirtz, we know how different he is for us. We have to find him at the right moments. We need to have a good structure to help him. This competition is for him, he is a Champions League player," Alonso told reporters.
"Hopefully we can go through to the next round. For Florian, he wants to have a big game. A big game is the best thing for him."
Alonso is hoping that his side can use the performance on Tuesday to pick up in the Bundesliga, where they are fourth despite having won just one of their last four matches.
Having won the domestic double last term though, he is aware there is still room for improvement in their performance.
"We did very well against Salzburg today. We want to build on that against Union [Berlin] on Saturday and maintain the level we have set ourselves," said Alonso.
"There are still ups and downs. We weren't great, but we weren't very bad. But I think there's still room for improvement. We can do better," he said.
Boniface opened his account for the season with two goals and an assist in last weekend's 4-1 victory over Hoffenheim.
The 23-year-old netted 14 times last term as Leverkusen roared to the first Bundesliga title in their history, while remaining unbeaten in all 34 matches.
And Alonso feels the striker's continued growth is evident.
"We see a development with Boni from week to week," he told reporters at his pre-match press conference. "He's very important for us and has a big influence on our play.
"His influence off the pitch is also positive. He brings fun to the dressing room and is a good character. We have to help him to play well."
Leverkusen are full of momentum after opening their Champions League campaign with a comprehensive 4-0 victory over Feyenoord in midweek, with all four goals coming in the first half.
And Alonso wants to see more of the same from his players when Wolfsburg visit BayArena.
"We don't have much time to prepare for Wolfsburg, but that's nothing new for us," he added. "We have to make the best use of the time we have.
"It's important that we do the things that we did against Feyenoord and bring them onto the pitch on Sunday as well. We expect everyone to be available. We have a deep squad, everyone's ready."
The reigning Bundesliga champions climbed to second place in the Champions League table, after Nordi Mukiele scored a 90th-minute winner against the Nerazzurri.
Despite enjoying over 60% of possession, Leverkusen's five-match winning streak across all competitions looked set to end.
Nathan Tella struck the post, while Florian Wirtz and Jonathan Tah also went close as they struggled to break down Inter, who had not conceded a goal in their opening five Champions League games this term.
However, a goalmouth scramble in the dying moments culminated in Mukiele slotting home to snatch all three points.
And Alonso insists his side were worthy winners at BayArena.
"I think we played a very mature and complete match," Alonso said. "Against a team like Inter, managing emotions is crucial because they are a dangerous side with multiple playmakers controlling the game.
"It required a significant mental effort, but we successfully dictated the play, created many opportunities, and conceded just one.
"Yes, we respect Inter a lot, but we wanted the victory. We played our game with maturity and determination, and I believe our win was well-deserved.
"I always try to instil this mindset in my team: to attack until the very end."
After Robert Andrich gave Leverkusen the lead, Bayern's Aleksandar Pavlovic levelled with a stunning half-volley from 25 yards out which gave goalkeeper Lukas Hradecky no chance.
Bayern, who had won all four of their previous league games under Vincent Kompany, had 18 shots to Leverkusen's three and almost 70% of the possession.
That is the fewest shots Leverkusen have attempted in any of their 98 competitive matches under Alonso, while they also generated just 0.07 expected goals (xG) to Bayern's 1.32.
Despite their lack of attacking threat, Alonso was delighted with his side's defensive resilience, saying: "The energy and belief at Bayern is different to last season, they are going full throttle with and against the ball.
"That was very tough today. We can be happy with the point. I needed more energy from the team.
"I'm happy with that. We were ready to suffer and we did that. We need the discipline and passion of the players.
"It wasn't easy, we didn't have control of the ball. It was a challenge to defend. The point is important... The whole team did very well. We hardly had a chance to breathe but I'm very proud of my players."
Leverkusen midfielder Granit Xhaka, who provided the assist for the opener, said their main strategy was to be compact and deny Bayern opportunities to score.
"We are self-critical. If you score three goals every game, that's not enough. If we play well today and switch gears, we can do something," Xhaka said.
"Defensively, we put in a good performance. The goal today was to be compact and concede little. You can certainly do more with the ball and everyone knows that we can do more. If someone had told us before the game that we would get a point, we would have taken it."
Leverkusen will next turn their attention to the Champions League, when they host AC Milan on Tuesday.
The Czech had scored five goals in three consecutive league games, including a hat-trick against Heidenheim, before missing Saturday's 2-1 win over St. Pauli through injury.
Schick also netted in their 5-0 win over Salzburg last time out in the Champions League, having been in impressive form in the absence of Victor Boniface, who is also injured.
Leverkusen are aiming to become the first team to score against Inter in the competition this season, with Alonso hopeful he will have his striker back for the match.
"Patrik is getting closer and [on Tuesday] morning we are training again," Alonso told a press conference. "We have to assess the situation day by day. But he is feeling better, and we are not ruling him out.
"We want to play each game to win, even tomorrow against a top side. That is our main focus. Our goal is to qualify for the first eight and to do our best in each competition."
The reigning German champions are in sixth place in the Champions League table on 10 points and are on track to qualify automatically for the last 16, but they will need all the firepower they can get against the Italians.
Inter are in second place on 13 having won four and drawn one of their five matches. Simone Inzaghi's side have conceded the lowest-quality chances in the tournament this term, when factoring in the average expected goals (xG) of each shot a team has faced (0.07).
However, Leverkusen have won seven of their last eight home games in European competition (D1), all since the start of last season. They have outscored their opponents by 21 goals across these eight matches (27 scored, six conceded), while having 138 more shots than they have conceded in the process (206 for, 68 against).
"We are facing one of the best teams in Europe. But for us, we want to see where we are, and we play at home," Alonso added.
"Great expectations from our side and hopefully we will be ready.
"It is a winning team. [Inter's zero conceded goals] says that it is a team that has this consistency for the last years in the Champions League," Alonso said.
"They are very strong, a very solid squad and with a very clear idea of what they want. They play with a lot of maturity."
Leverkusen's 35-game unbeaten run in the Bundesliga ended in their last match, losing just their second game of the campaign at home to RB Leipzig after going the whole of the last league season without a defeat.
The international break has since reduced their preparation time for the trip to Hoffenheim, but Alonso remains optimistic about their chances of bouncing back.
"It was an express preparation, with an express meeting with the team, and individual discussions," Xabi Alonso told reporters on Friday.
"Friday is our last training session with the whole team. Of course, we don't have a lot of time to prepare for Saturday, but that's our normal dynamic.
"We will see if this express meeting was efficient or not."
Leverkusen needed a late goal to snatch a 3-2 win at Borussia Monchengladbach in their opener, before going down 3-2 against Leipzig, but the manager does not believe it is all doom and gloom.
"We're doing a lot of things very well, but there are a few things we need to improve to reach our best level," he said.
"There aren't too many things, but there are important things to improve. Hopefully, we have a better performance, a more complete performance.
"It's a football and a mentality issue. We have to improve tactically, with the ball, but also with our mentality and concentration to improve and be a bit better."
The coach said that all his players returned healthy from international duty, and he took the time to back his defender Jonathan Tah after the German came under criticism from an opposition manager.
After the 2-2 Nations League draw between Germany and the Netherlands on Tuesday, Dutch manager Ronald Koeman said that Tah, who was replaced at half-time, had big problems and made a lot of mistakes.
"It's his opinion. My opinion is that Jonathan is a top player for us," Alonso said.
"What he did in the international break, the international game is not my topic. And he was here yesterday, in a good mood, with a good feeling, so that's my main concern."
Alonso's side struck twice in the first half through Florian Wirtz and Jonathan Tah, with Morgan Guilavogui reducing the deficit in the 84th minute for St. Pauli.
Leverkusen improved their record against newly-promoted sides in the Bundesliga, having lost just one of their last 21 games against them (W16 D4).
But the reigning champions were made to work for their win, registering an expected goals (xG) total of 0.88 from their six shots compared to St. Pauli's 1.82 from their 12 efforts.
"Yes, we didn't discuss for today, but after Kiel, for example, what we can do better," Alonso told reporters following Saturday's victory.
"How to play with more intelligence in those minutes. Today wasn't spectacular, but we were more efficient and playing with more intelligence from minute one.
"When you play every three days, it's not easy to defend everything all the time. I have to praise my team for finishing today's game with a win.
"But that is what we need to realise about the situation that we are in. To fight for results and to fight for points. Yes, the first half was good, and the second half was okay."
The victory moved Leverkusen up to third in the Bundesliga, seven points behind leaders Bayern Munich, who beat Heidenheim 4-2 on Saturday.
But their attention will turn swiftly to the Champions League, with Inter the visitors to the BayArena on Tuesday.
Alonso's side find themselves sixth in the new 36-team standings in the competition after five games, taking 10 points from those games and scoring 11 times.
Victor Boniface scored twice and set up Martin Terrier, with Florian Wirtz adding the other after Mergim Berisha had pulled one back for the hosts.
It was an important win for last season's domestic double-winners as they recovered from their loss to RB Leipzig in the Bundesliga before the international break.
"It was an important test for us to not concede a second goal after going 2-0 up," said Alonso, whose team had taken a two-goal lead at home against Leipzig before eventually losing 3-2.
"We reacted well and this time we controlled the game better and were more stable until the end. We know we will get our chances if we are patient and that is what we have to patiently work towards."
Leverkusen's defeat by Leipzig was their first in the Bundesliga in over a year (462 days) after winning last year's title undefeated.
However, they proved a threat on Saturday, having 20 shots, getting eight of those on target, while accumulating 3.62 expected goals.
"We were ready today to show our highest level," said Alonso. "We were serious and very professional.
"Hoffenheim made it difficult for us in the 10 minutes before the break but we came back after half-time to show sufficient energy."
Leverkusen, who have six points from three games, kick off their Champions League campaign on Thursday at Feyenoord.
After going without a win in three games in all competitions, Leverkusen have put together back-to-back victories, scoring 10 goals in the process.
Leverkusen's 5-2 victory against Heidenheim last time out saw them come from two goals down to win a Bundesliga game for the first time since April 2016 (3-2 at Schalke).
Their victory in the Champions League over RB Salzburg in midweek, however, was a little more straightforward after cruising to a 5-0 triumph against the Austrian side.
It was Leverkusen's joint-biggest win in their major European football history, while also registering their third Champions League win this season, the first time they had done so since the 2014-15 season (four wins).
Yet they have managed three consecutive victories across all competitions only once this season, something Alonso acknowledged must improve.
"We want to have again a good feeling. After (the win over) Heidenheim it was better, and it was certainly better after Salzburg," coach Alonso told a press conference.
"Tomorrow is a different game... but it is a good moment to show that after two good games we can play a third good one in a row. I want another clean sheet tomorrow."
The reigning champions find themselves fourth in the Bundesliga table, nine points off leaders Bayern Munich, who face Borussia Dortmund in the late kick-off on Saturday.
Leverkusen have managed just one win in their last four top-flight games, though Alonso has reason to be confident of adding three points to their tally this weekend.
They are unbeaten in their last 22 Bundesliga away games (W16, D6). In league history, only Bayern have ever put together longer undefeated streaks on the road (33 games from 2012 to 2014 and 26 games from 1985 to 1987). The Werkself have also scored in all 22 of these fixtures, an ongoing club record.
"We know we expect something different against Union and a big challenge in front of us," Alonso said. "We have to be prepared for a physical game."
Alonso led his side to a win over Milan in the Champions League on Tuesday, with the Bundesliga champions one of only seven teams with a perfect record in the competition so far.
But their fortunes in the league have been much different, taking 10 points from their opening five games, the latest of which ended in a 1-1 draw with Bayern Munich.
Leverkusen's start to the campaign is the worst by a reigning champion in 12 years since Borussia Dortmund managed eight points after the first five games in 2012-13.
But Alonso, who has won 67 of 99 games in charge of Die Werkself, is wary of the threat this weekend's opponents provide despite their league position.
"Every league match is tough, and we have learned that this season already," Alonso said.
"We expect the same tomorrow. They only have a point but deserve a bit more than what they have at the moment."
"In our heads and our preparation, it is only Kiel. We have full respect. They are a good opponent, very flexible in their lineup.
"I expect to see my team to be mature and intelligent. We have to show that we are fully prepared.
"My team plays with the same motivation in every game, so I have no reason to doubt them, and we will hopefully show it tomorrow."
Many of Leverkusen's problems this term have come from defence, a part of their side that was crucial in their domestic double last season.
Die Werkself conceded just 24 times last campaign, 15 less than Stuttgart in second place.
Leverkusen have already conceded six goals in their last two Bundesliga games at the BayArena, as many as they let in across their previous 12 home matches combined.
Only 1. FC Koln in 1964-65 conceded as many goals in their first two home games as champions.
And with a total of 10 goals conceded from their first five games, Leverkusen has the worst defence of a reigning champion since Wolfsburg in 2009/10 (11).
Alonso stressed the importance of improving defensively, and he is confident that a win and a clean sheet will give his side a solid foundation to build on after the international break.
"If we win then we will have had a good phase (until the international break)," Alonso said.
"Then we can prepare for the next block of matches. It was important that we are defending a bit better than we had been last month.
"That is something we need. Without it, we are not competitive, and we want to be competitive."
Holders Leverkusen, who also won the Bundesliga last season, visit Bayern in the last 16 on Tuesday.
Leverkusen have been unable to sustain the immaculate form they showed domestically last term, though they have only lost one league match.
They sit seven points behind leaders Bayern, who drew 1-1 with Borussia Dortmund on Saturday, with Jamal Musiala scoring a late equaliser.
"The cup is one game and anything can happen," Alonso said on Monday.
"Tomorrow is like a final for us. There is no tougher game than a game at the Allianz Arena.
"Normally if Bayern play at the Allianz Arena in the Bundesliga, the Champions League or the DFB-Pokal they are always the favourites.
"It is the biggest challenge. Almost a final."
Leverkusen will be without key striker Victor Boniface just as Bayern are missing top scorer Harry Kane.
But Alonso said he was happy to have forward Patrik Schick firing on all cylinders, with the Czech having netted the winner versus Union Berlin on Saturday after his hat-trick against Heidenheim a week earlier.
Schick had also scored in Leverkusen's midweek 5-0 demolition of Salzburg in the Champions League.
"Patrik is in a top moment," Alonso said.
"He not only scores, but does a lot of other things right, also against Union Berlin in an intense game against a tough defence. I am happy he is having this good feeling."
Schick was substituted an hour into Tuesday's DFB-Pokal tie, having only been introduced at half-time, after sustaining an injury off the ball.
The forward has scored nine goals for Leverkusen in all competitions this season, a tally only Florian Wirtz can match.
Asked about Schick's injury after his side's 1-0 victory at the Allianz Arena, head coach Alonso said: "Patrik felt something in his calf.
"He's being examined and we'll see. It doesn't look good at the moment."
Schick played the full 90 minutes for Leverkusen and scored the winner in Saturday's 2-1 Bundesliga win at Union Berlin.
Asked by Bild about his substitution against Bayern, the Czech international suggested he was already carrying a knock.
"I suffered a thigh problem in Berlin. I can't say more now, I don't know," he said.
Nathan Tella scored the only goal of the last-16 tie in the 69th minute, with holders Leverkusen profiting from Manuel Neuer's first-half dismissal.
The reigning German champions have scored in 35 successive DFB-Pokal away games, yet they were not at their best in Bavaria.
Despite having less possession and registering fewer shots than their opponents, Leverkusen got the job done to advance to the quarter-finals.
"It was not our best game with the ball or even with an extra man but we applied our plan," defender Jonathan Tah said.
"It was not immediately easy to adapt to having an extra man. We did not use it in the first half. We were too hectic and wanted to score quickly.
"We did not do it perfectly today but we were effective and then Nathan headed in the winner."
Alonso has now won all nine of his games as a head coach in the competition – only Louis van Gaal and Pep Guardiola (both 10) have gone longer unbeaten at the start of their coaching careers.
French striker Martin Terrier joined Leverkusen's long injury list when he fractured his right forearm during their 5-2 comeback win over Heidenheim in the Bundesliga on Saturday, while Jeremie Frimpong also had to go off before half-time.
Jonas Hofmann was ruled out for the rest of the year due to a thigh injury before that game on Saturday, joining Victor Boniface, Amine Adli, Nordi Mukiele and Jeanuel Belocian on the sidelines.
"We need the whole squad but with six injured players, everyone is even more important," Alonso told reporters.
"It's intense to play every three days. A special situation in which we need every single player."
Along with injury concerns, Leverkusen have struggled with form in the past weeks as they drew 1-1 with Brest and then lost 4-0 to Liverpool in Europe's top competition.
Since the start of last season, no team has won more games in major European competition than Leverkusen (11, excluding qualifiers), while only Liverpool (39) and Manchester City (38) have scored more than Alonso's side (37) in this period.
However, since the start of the 2023-24 campaign, Leverkusen have won six of their seven home matches in major European competition (D1), and beat Milan in their only match on home soil in the Champions League this term (1-0).
Leverkusen, winners of the domestic double last season, are 13th in the Champions League standings and will face Salzburg, who are 30th, but Alonso said Pepijn Lijnders' side cannot be taken lightly.
"We know how important the upcoming home games against Salzburg and Inter are. We expect a good opponent tomorrow," he added.
"Salzburg plays with a lot of intensity and dynamism. We want to get these important points in the BayArena. We need the energy from the fans. In difficult moments, they can influence and push us."
Alphansus Davis High made it past the first round for the first time since 2018 when they were still named Spalding High after they held on for a 2-2 draw against Bellefield High, completing their Zone G playoff game that had started last week. They finished with 16 points in the first round.
At the same time, Cedric Titus High took the lone ‘wild card’ spot available to the best third-place team.
They joined the 30 schools that had already booked their places up to Saturday for the Round of 32, which is set to get underway on Tuesday with one game, Port Antonio High against Dinthill Technical at Carder Park.
Christiana High won Zone G with 28 points, and Holmwood Technical won second with 22 points.
For their efforts, Alphansus Davis will play in Group 4 of the Round of 32 alongside Munro College, Maldon High, and Brown’s Town High,
Cedric Titus High was third in Zone D, behind Spot Valley High and William Knibb, and edged out Green Pond High for the best third-place team on goal difference after both had accumulated 19 points from 10 games.
Cedric Titus had a goal difference of 27 to Green Pond High’s five.
Also on Monday, Central High topped the Zone H table after playing out a 0-0 draw with defending champions Clarendon College.
Central finished with 20 points and will play in Group 6 in the second round while Clarendon College took second place with 19 points, edging Denbigh High, who beat Lennon High 4-1, on goal difference.
Clarendon College will play in Group 7, where they will meet Glenmuir High in a repeat of last season’s final, Paul Bogle High, and Titchfield High.
Denbigh High will contest Group 5 along with Belair High, Happy Grove High and Holmwood Technical.
Frome Technical topped Zone B with 26 points after a 4-0 win over Green Island thanks to a second consecutive hat trick from Stevaughn Spence.
The other goal came from Dwyane Watt for Frome Technical who will now take on Ocho Rios High, Black River High, and Cedric Titus in Group 2.
Rusea’s High took the runner-up spot after beating Knockalva Technical 5-1 in Lucea, with Michael Foga scoring a hat trick, and will play out of Group 1 against Cornwall College, Spot Valley High, and Kemps Hill High.
