Ronny Deila's men are on the verge of clinching their five league crown in a row.
Leigh Griffiths has warned any of the sides that will be backing themselves to challenge Celtic for the Scottish Premiership title next season that the Hoops are more than confident of making it six in a row, the Daily Record reports.
Though the Bhoys' fifth consecutive title is not quite in the bag, Ronny Deila's men are nine points clear of Aberdeen with three games to go and have a vastly superior goal difference following their 3-1 away at Hearts on Saturday.
So with thoughts now turning to next season, many are wondering how Celtic will get on in a division which includes the Dons, a Hearts side that now has one top flight campaign under its belt, a Rangers team that knocked their Old Firm rivals out of the Scottish Cup and potentially a Hibernian side that clearly have the ability to cause problems should they also go up.
But Griffiths has insisted that the chasing pack should be more concerned about Celtic rather than the Hoops being worried about those hoping to dethrone them.
"We were disappointing against Rangers in the Scottish Cup and everyone said our bubble was burst," he told the Record.
"But to come to a venue like Tynecastle and dominate like we did speaks volumes.
"Everyone will improve next season. But we’ll also be stronger. Hopefully we’ll be champions again and get six-in-a-row."
While Aberdeen have threatened to take the title race down to the wire, Celtic have shown that they still have too much strength this season even though they have often looked short of their best.
And while Rangers will be buoyed by their semi-final triumph, they still need to prove that they can handle the demands of facing tougher opposition every single week.