They are now the champions-in-waiting after yet another derby victory over Rangers.
But Brendan Rodgers won't be allowing any slacking off as his Celtic side get ready to face Kilmarnock in Ayrshire tomorrow night. They may even be crowned champions before they get to play if injury-ravaged Gers fail to pick up maximum points in their home match against Dundee this evening.
The Hoops would probably prefer to secure it on their own rather than seeing it happen while they're sitting at home before having a bit of a party when they host St Mirren at the weekend. But they will of course take it any which way and it's the work they've put in over the season that has earned it.
That work continued at Lennoxtown today as Rodgers and his coaching staff put the players through their paces. Here are some observations we've picked out from the session.
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Fighting fit
Alistair Johnston had to be subbed off against Rangers, perhaps feeling the after effects of that John Lundstram cruncher. But he appears to have shrugged that off and was training today.
Show me the way to Easter Road?
John Kennedy has been a managerial target for Hibs before - would they be interested again now they have a vacancy?
What next?
Adam Montgomery has been back training with the first team fresh from signing a new deal. He won't be able to play before the end of the season having featured for both Fleetwood and Motherwell already but it will be interesting to see what happens with him next season.
Snap happy
Luis Palma got his hands on a snapper's camera as he had a bit of fun at training!
The end is nigh
Joe Hart is into the final stretch of his career as a professional footballer and will sign out with this away game at Kilmarnock, a home clash with St Mirren and then the small matter of an Old Firm cup final.
Should I stay or should I go?
Paulo Bernardo is another whose future will come into focus in the coming days. Celtic were reportedly keen on making his loan permanent but that could have changed as he hasn't been featuring as much recently.