Celtic manager Ange Postecoglou hinted his team could play with more freedom now they have wrapped up the title.
The Hoops retained their cinch Premiership crown with four games remaining thanks to a 2-0 victory over Hearts at Tynecastle on Sunday.
There is no room for dropping off given Celtic face Rangers at Ibrox on Saturday and have a treble to play for with a Scottish Cup final against Inverness to come on June 3.
They also have the chance to set a new Scottish top-flight points record of 107 – beating Brendan Rodgers’ Invincibles team of 2017 by a point – if they win their final four matches.
Postecoglou said: “We have got an opportunity to (have a special season). We are champions, which is fantastic. There are still four games in the league and we have a cup final to look forward to.
“Why let this opportunity slip to continue to maintain standards?
“I think the last three or four weeks we have been playing pretty tight in terms of emotionally.
“The boys knew they were close to achieving something special and the closer you get to something like that, it’s human nature that you tighten up a bit. I think that’s been reflected in our football the last three or four weeks.
“But through that time they still work so hard for each other, they are still disciplined, they never lose focus. They just have this real determination.
“They are winners, mate. They are winners.”
Captain Callum McGregor believes the competition within the squad will help ensure they retain their edge for the cup final.
McGregor, who is going for his fifth treble, said: “It’s a cup final, we have to prepare well and that includes the last four games. We have to be bang at it, we can’t come off it.
“Listen, the manager won’t let us anyway but we just continue to play the way we are playing, stay hungry, and once we get to the cup final we will try to deal with that as best we can, and that will be a consequence of that happening.
“Everybody wants to play, that’s why it’s highly competitive to get in the team and stay in the team.
“If you look at the subs who came on on Sunday, Aaron (Mooy) has a huge impact on the game and he is somebody who has been really strong for us this season.
“There’s strength in depth there and I think the guys, when they are in the team, they are desperate to stay in the team. To have that competitive environment for the next four weeks will hopefully stand us in good stead.”
Celtic have the chance to go a full season unbeaten against Rangers, who they have beaten in both cup competitions.
“You don’t need any extra motivation for these games,” McGregor said. “They are always big games, there’s always something to play for. and I’m sure it will be a highly competitive game again.
“We want to go there and be aggressive in the game and get maximum points.”
Rodgers enjoying 'exciting period' as Celtic open gap at top of Scottish Premiership
Brendan Rodgers says it is an "exciting period" for Celtic as they moved three points clear at the top of the Scottish Premiership with a 4-1 win over Hearts.
Celtic made a sluggish start to the match and were lucky not to find themselves behind at the break as Blair Spittal and Lawrence Shankland spurned glorious chances for Hearts.
However, they came out revitalised in the second half as Kyogo Furuhashi and Nicolas Kuhn scored twice in five minutes to put them 2-0 up on the hour mark.
Adam Idah scored twice, netting on either side of Musa Drammeh's consolation, with his second coming from the penalty spot in the 94th minute.
Celtic have now won all seven of their away league games this season by an aggregate score of 22-2.
After Aberdeen's first loss of the season earlier on Saturday, Celtic gave themselves some breathing space at the top of the league, while also moving 11 points clear of rivals Rangers, who sit third.
Rodgers was delighted with Celtic's response to the first half, praising the players' adaptation.
"I'm really pleased. Tynecastle is a really tough place so to win 4-1 was really pleasing," Rodgers said.
"Second half, we figured out their press. They have normally been pressing in 4-4-2 but changed it slightly. It just meant we had to drop a man in our build-up play.
"We had some good moments in the first half, but once we were able to play through that pressure, I thought in the second half we were excellent.
"It's a very exciting period for us. All the players know they will play, they just need to be ready."
Clement 'cannot ask much more' from Rangers despite Dundee United draw
Philippe Clement was left frustrated following Rangers' 1-1 draw with Dundee United, but acknowledged he "cannot ask much more" from his players.
The Gers dropped their first points at Ibrox in the Scottish Premiership season, and could trail leaders Celtic by 11 if the Hoops beat Hearts later on Saturday.
Sam Dalby's 36th-minute header put the visitors in front, though Vaclav Cerny's smart finish levelled the contest midway through the second half.
The hosts pushed for the winning goal, with Ianis Hagi and Robin Propper denied by United goalkeeper Jack Walton later on.
Yet, despite over 70% of the possession and nine shots on target to their opponents' one, Clement's side were forced to settle for a share of the spoils.
"We need to reward ourselves, and we need to play like we played in the second half, 90 minutes long," he told Rangers TV. "Like that, you strangle teams like you did in the past, and that's the football I want to see.
"I cannot say anything about commitment in the second half, the team pushed until the last seconds to score a winner, and the goalkeeper made some excellent saves. The team was not rewarded in that way.
"It's frustrating to lose points in a game where you face one shot on target, and it's a goal. Last season, we won these games and, now, you lose points, so we need to get back to the level of before.
"They fought until the end. We had really good opportunities. You cannot ask much more, only to score the second goal. Then, you have a totally different feeling after the game."
Meanwhile, Jack Butland was left to rue what might have been, with the goalkeeper insisting he and his team-mates must up their game.
"It can't take until the second half to get going," he said. "We've got to be better. We've given away too many easy goals against teams that are just looking to hang onto something.
"It's not a great result at all. It feels like a loss. These games have got to be wins. It's not what the fans deserve from the game today. We need to do much more."
Clement wants ruthless Rangers after nervy win over Hearts
Rangers boss Philippe Clement called on his team to show greater ruthlessness after they were made to work for a 1-0 win over Hearts in the Scottish Premiership on Sunday.
Cyriel Dessers put the Gers ahead after just six minutes at Ibrox, diverting James Tavernier's effort past visiting goalkeeper Craig Gordon.
However, Clement's team failed to build on that quick start and inched over the line amid a tense atmosphere, moving back to within nine points of pacesetters Celtic and Aberdeen.
Speaking after the game, Clement acknowledged his players are fatigued after a gruelling run of fixtures but added they must start taking their chances.
"We made too many wrong choices with the ball and became too sloppy," Clement said.
"It's the end of a very busy period, though, with a lot of travelling and they're all human beings, not robots.
"We missed scoring the second goal and we know that until you get that goal the other team stays in the game, so I want us to kill the belief of the opponent faster.
"I'm very satisfied with the result and the deserved three points. We didn't show the same quality in the second half and we didn't finish off the game. We had a few chances, but it stays nervous until the last second."
Rangers host Dundee United after the international break, while Celtic visit Hearts and Aberdeen travel to St. Mirren.
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