Stefano Pioli declared that league titles "are not won in December" but challenged Milan to raise their game when they face Napoli on Sunday.
Inter moved four points clear of the Rossoneri at the top of Serie A by hammering Salernitana 5-0 on Friday.
The champions have soared to the summit with six consecutive victories, while Milan dropped to second after they were held to a 1-1 draw at Udinese, after crashing out of the Champions League with a 2-1 home defeat at the hands of Liverpool.
Pioli says it is too early for talk of Inter running away with it, highlighting that Milan topped the table for much of last season before falling short.
The Milan head coach said in a press conference on Saturday: "I don't think we can talk about an escape, I think Inter are demonstrating the qualities they had already shown.
"Championships are not won in December. We were in the lead for a long time last year and we know how it ended. We have to improve ourselves.
"The first year we had 66 points starting from a difficult position. The second year 79 points.. This year's goal is to do better, especially in the second round [of fixtures]."
He added: "We are having a very good first round, there are still two games to go. I would like to surpass last year's 43 [before the break].
"Tomorrow's opponents have great qualities and an excellent coach, we certainly need to raise the level of performance.
"We are not racing against anyone, but only with ourselves. The last two performances weren't optimal, we must try again to bring our qualities into play with strength and conviction."
Milan have only won one of their last 13 Serie A games against Napoli, but at least it came recently – a 3-1 success in November 2020. Over that period they have had five draws and suffered seven defeats.
Neither team can point to particularly strong recent form, despite both sitting in the top four going into the San Siro game. After setting an electric pace in the early weeks, Milan and Napoli have been steadily reeled in.
Since the beginning of November, Milan have picked up eight points from six games and Napoli have managed only five, ranking them 10th and 16th respectively in Serie A across this period.
Milan's forwards may be interested in the fact Napoli have faced 28 shots on target in their last five league matches (5.6 on average per match), whereas they had faced 11 in total in their previous five (2.2 on average per game).
Pioli will check on Theo Hernandez for the clash with fourth-placed Napoli as the France left-back has been suffering with illness.
'It's a shame' - Alonso confirms Leverkusen's Boniface out with thigh injury
Bayer Leverkusen boss Xabi Alonso confirmed that Victor Boniface will be sidelined for some time after picking up a thigh injury on international duty with Nigeria.
Boniface, who has scored eight goals in 15 appearances in all competitions this season, was replaced late on in the Super Eagles' 2-1 defeat to Rwanda on Monday.
It is another blow for Leverkusen, who have managed 17 points from 10 games so far this season, the worst start to a league campaign in 12 years by a defending champion.
Only Omar Marmoush and Harry Kane (both 11) have scored more goals in the league than Boniface this term (six).
Alonso revealed that the 23-year-old will miss Saturday's Bundesliga encounter against Heidenheim and their Champions League tie against RB Salzburg next week.
"We will have to see how long he will be out. It is a shame," Alonso told a press conference.
"He has a thigh injury. For tomorrow, for Salzburg and maybe a bit longer. We will have to wait and see.
"It is too early to say but we hope he can still play this year. We have to see with the recovery and improvement but it is not a matter of six or eight weeks."
Leverkusen have dropped points in six Bundesliga games already this season (D5, L1), as often as they did during the entirety of their 2023-24 title-winning campaign (D6).
They come into this weekend's fixture against Heidenheim on a three-game winless run in the Bundesliga (D3), the first time they have gone this long without a victory since between April and May 2023 (five games).
Leverkusen sit fourth in the Bundesliga, already nine points behind leaders Bayern Munich as the busy festive schedule kickstarts on Saturday.
Alonso's side have eight games in just under a month, including a DFB-Pokal round of 16 clash with Bayern at the start of December.
"Eight games in four weeks. It is nothing new for us," Alonso said. "An intense phase is coming up for us and it starts tomorrow.
"We have clear goals for the Bundesliga, the Champions League and the German Cup."
Object thrown at City striker 'Bunny' Shaw in Champions League win over Hammarby sparks UEFA investigation
UEFA has opened an investigation after Manchester City striker Khadija Shaw was hit by an object during their Women’s Champions League win against Swedish side Hammarby on Thursday.
The towering Jamaican striker scored both goals in City’s 2-1 win at the Stockholm Arena to see her side through to the quarterfinal stage.
Her animated celebration in front of the home fans after her first goal saw the 27-year-old being booked, with replays also showing an object seemingly thrown her way from the stands.
“Proceedings have been opened against Hammarby IF for throwing of objects (Article 16(2)(b) of the Disciplinary Regulations),” UEFA said in a statement.
“Manchester City player Khadija Shaw received a yellow card following her goal presentation for unsporting conduct,” the statement added.
Following the game, City captain Alex Greenwood chided match broadcaster DAZN for failing to mention the incident in a social media post.
The post on X, external said Shaw “antagonised” the home fans and received “stick” from them.
Greenwood replied, "Correction. Travel to Stockholm, score a big goal. Celebrates her goal. Gets objects thrown at her.”
Girona handed huge injury boosts ahead of Espanyol clash
Michel says Girona are in better physical shape ahead of their home clash against Espanyol after being handed numerous injury boosts.
Last season's surprise package, Girona, have had a mixed start to the campaign and sit 10th in the table but registered back-to-back league wins before the international break.
They have struggled with injuries to key players this season, but Viktor Tsygankov, Jhon Solis, Arnaut Danjuma, Yaser Asprilla, Ladislav Krejci, Ivan Martin, and Alejandro Frances are all available for the game.
Michel hopes that having a wider group of players available will help them to extend their winning run.
"We are better physically. Only Yangel Herrera, [Gabriel] Misehouy, Portu and Abel Ruiz are out, and the rest are in the squad" Michel told reporters.
"Each case will be different in terms of giving us minutes, but they are ready to help us.
"Now we have replacements in each position, and it gives me peace of mind. We need everyone ready and in the next two to three weeks, we will be ready to play at 100%."
Michel said Herrera, who has scored twice and registered one assist in LaLiga this term, was not expected to return until the new year.
"He is a player who makes the difference in terms of duels, arrivals into the opponent's area and possession. He is vital, but we will not have him until 2025," he added.
Girona have 18 points after 13 games and will face an Espanyol side sitting in the relegation zone. The visitors are yet to win away this season, losing five of six games on the road, but Michel has won just one of his four LaLiga matches against Espanyol (D2 L1).
The Girona head coach said Manolo Gonzalez's team cannot be taken lightly despite their underwhelming performances in away games.
Espanyol are yet to win away this season, losing five of six games on the road.
"We faced each other in pre-season and we drew. It will be difficult since they are a very good team in transition with players like [Javi] Puado or Jofre [Carreras] with speed and depth," Michel said.
"It's always a different game. It's a derby, and it's good to play them. There is a rivalry that must be sporting and, for our people and the players, it is a different game."
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