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 promises Celtic's 'best version' in Old Firm clash
Brendan Rodgers has promised Celtic will be at their very best when they take on Rangers in the Old Firm derby on Saturday.
Rodgers’ side have a three-point advantage over their rivals and a superior goal difference going into the game, while a victory over Rangers would move them six points clear with just two games left to play.
Following the 3-3 draw in the Old Firm in April, Rangers stuttered with a draw and a defeat at the end of the first phase, while Celtic have won each of their last three matches to take control of the title race.
Going into the final league derby of the season, Rodgers is confident that his team are ready for the big test.
"When I look at the injuries and disruptions we've had this season, last weekend was about there in terms of availability, fitness and where the team is at," Rodgers told CelticTV.
"It's as good a place as we've been all season. When we will arrive into this weekend's game, this will be the best version of the team since I've been here."
Rodgers expects a raucous atmosphere at Celtic Park and highlighted how that helps the players in big matches.
He added: "The crowd in the Hearts game was brilliant for us. The emotion rolls down from the stands, and you see what it gives the players and how they respond to that.
"We will need the same at the weekend and I know we will get it. The supporters are liking what they see in the team. It should be a great occasion, and I’m really looking forward to it."
Rangers 4-1 Kilmarnock: Gers come from behind to keep pressure on Celtic
Rangers came from behind to beat 10-man Kilmarnock 4-1 at Ibrox on Sunday to keep the pressure on Scottish Premiership title rivals Celtic.
After Celtic thumped Hearts 3-0 on Saturday, it looked like the Bhoys' title charge could receive a further boost when James Tavernier put through his own net with 12 minutes gone at Ibrox after Liam Polworth's cross was nudged back across goal by Matty Kennedy.
However, Kilmarnock's Joe Wright was sent off for handling Dujon Sterling's goalbound effort shortly after, and though Tavernier's resulting spot-kick was brilliantly saved by Will Dennis, Rangers did get themselves back on level terms deep into first-half stoppage time as Fabio Silva turned home John Lundstram's cross.
Ben Davies then bundled the hosts into the lead with 62 minutes on the clock after Dennis fumbled Lundstram's long-range effort into the defender's path, before substitute Tom Lawrence extended Rangers' lead with a delightful strike from outside the box.
John Souttar sealed the win in the dying seconds with a close-range header, moving Rangers three points behind Celtic ahead of the crucial Old Firm next Saturday.
Celtic 3-0 Hearts: Kyogo sends hosts six points clear of Rangers
Kyogo Furuhashi scored twice in the first half as Celtic defeated Hearts 3-0 on Saturday to move six points clear of rivals Rangers in the Scottish Premiership title race.
Rangers host Kilmarnock on Sunday for their game in hand, but Celtic, who also have a better goal difference, remain in control of the title race as things stand.
Celtic will then host Rangers in next week's pivotal Old Firm derby.
Lawrence Shankland almost gave Hearts a dream start when his effort deflected just wide in the opening minute, but from that point on, despite some strong spells of play in the opening half, they never looked likely to record what would have been their third consecutive win over Celtic.
Kyogo had Celtic two goals up inside 21 minutes in a hammer blow to Hearts, who are all but certain to finish in third place this season.
A Matt O'Riley penalty three minutes from time ended any faint hopes of a Hearts comeback, sealing a result that puts further pressure on Rangers.
Data Debrief: O'Riley key to Celtic success
Kyogo's early header was set up by Reo Hatate, while it was O'Riley who set up the second goal with a superb pass that the Japan international met with a first-time finish.
O'Riley, who later added his penalty, now has 14 goals and 12 assists in the Premiership this season. His goal tally is the highest of any Celtic player, while the creative total is the best in the whole league.
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