Celtic full-back Alistair Johnston might play again this season while Cameron Carter-Vickers is expected to be back for the start of next term.
Canada international Johnston joined the post-match celebrations at Hampden on crutches after suffering a lower-leg injury following a challenge on Rangers defender Borna Barisic in Sunday’s Scottish Cup semi-final.
Carter-Vickers was the best player on the park despite playing through a knee injury which has ended his campaign but Celtic have received positive news following his operation.
Johnston will sit out Sunday’s game against Hearts at Tynecastle as Celtic bid to get a win which will secure a second cinch Premiership title under Ange Postecoglou.
But the 24-year-old could be fit ahead of the Scottish Cup final against Inverness on June 3.
“He got a significant knock,” Postecoglou said. “We will see. There is still a chance he will be available before the end of the season but it will be a week-by-week thing and we will see how he goes.
“Cameron (Carter-Vickers) will be out until the start of next season and James Forrest is probably a week away.
“The only other new one is Stephen Welsh who picked up a knock in training. Everyone else is good to go.”
Centre-back Carter-Vickers looks set to be fit to join his team-mates for pre-season training.
“He has already had the surgery and the reports are that it went really well and he should be right for the start of the season, to begin the season, which is great news for us,” Postecoglou said.
“It’s something he has carried for a significant part of this year but he was really keen to play, particularly up until last weekend knowing what the game meant for our season.
“But it’s fair to say he hasn’t been able to train at the levels he wants to and can sometimes perform, but he has never used that as an excuse.
“He was outstanding for us this year and it’s great for him to get it seen to now and know that at the start of the season he will be ready to go.”
Japanese central defender Yuki Kobayashi is set for a run in the team after making four appearances since his arrival in January.
“He is ready to go,” Postecoglou said. “He has done well for us every time we have called upon him.
“We brought him in in January to use this second half of the season to bed him in in terms of our football and how we train, to let him adjust. Yuki is ready to step up and play a significant role.”
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.
Celtic show 'another side' in following up Leipzig win by beating Kilmarnock
Celtic beat Kilmarnock 2-0 on Sunday to return to the top of the Scottish Premiership table, showing "another side" to their play after stunning RB Leipzig in the Champions League.
Brendan Rodgers' side defeated German side Leipzig 3-1 on Tuesday to put themselves in a strong position in the league phase of the Champions League, but their attentions returned to domestic action this weekend.
And after Aberdeen eased past Dundee, Celtic knew they must win again to reclaim top spot on goal difference.
Goals from Callum McGregor and Nicolas Kuhn ensured they did just that, although it was a battle for the champions.
"They're totally different games, more fighting football [against Kilmarnock] and what you've got to contend with," Celtic boss Rodgers told Sky Sports.
"But I thought the players were absolutely brilliant, how they had to defend the pressure. The build-up comes quite direct from behind, so they know you have to stand up to the long balls and long throws and everything else.
"The players have shown this week they can deal with all types of games. Today was a brilliant, brilliant win for us and showed another side to us."
They will next face Hearts on 23 November, after the international break.
Celtic show 'another side' in following up Leipzig win by beating Kilmarnoc
Celtic beat Kilmarnock 2-0 on Sunday to return to the top of the Scottish Premiership table, showing "another side" to their play after stunning RB Leipzig in the Champions League.
Brendan Rodgers' side defeated German side Leipzig 3-1 on Tuesday to put themselves in a strong position in the league phase of the Champions League, but their attentions returned to domestic action this weekend.
And after Aberdeen eased past Dundee, Celtic knew they must win again to reclaim top spot on goal difference.
Goals from Callum McGregor and Nicolas Kuhn ensured they did just that, although it was a battle for the champions.
"They're totally different games, more fighting football [against Kilmarnock] and what you've got to contend with," Celtic boss Rodgers told Sky Sports.
"But I thought the players were absolutely brilliant, how they had to defend the pressure. The build-up comes quite direct from behind, so they know you have to stand up to the long balls and long throws and everything else.
"The players have shown this week they can deal with all types of games. Today was a brilliant, brilliant win for us and showed another side to us."
They will next face Hearts on 23 November, after the international break.
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