The Hoops could still clinch a league and cup double this season.
Former Celtic midfielder Billy Stark believes that Ronny Deila made a mistake in allowing the Hoops players to openly discuss the possibility of winning a domestic Treble this season, the Daily Record reports.
The Bhoys are still in with a chance of winning the Scottish Premiership and are through to the Scottish Cup semi-final, but their League Cup run came to an end in the last four as they were beaten by Ross County in January.
And Stark suggested that whatever Deila's men achieve this season, the Norwegian has set himself up to fall short of expectations by allowing talk of winning all the silverware that is available to them domestically this season.
"I don't think it was wise for anyone to be talking about that," he told the Record.
"Maybe it was a wee bit of naivety from Ronny. I would have told the players not to mention the Treble. You're going to be asked about it but there's different degrees to which you can talk about it."
It is perhaps hardly surprising that Deila did not look to quash any Treble talk this season. After falling short once again in Europe, he may have been hoping that winning three trophies would have alleviated any of the pressure that was on his shoulders, and would have motivated the players to ensure that they were not left with egg on their faces by talking about it but not delivering on it.
However, while they can only now win two titles, Deila will know that winning both - which would require a victory in the Old Firm clash with Rangers in the semi-final of the Scottish Cup along the way, as well as seeing off Aberdeen's challenge in the top flight - will help the Hoops end a somewhat mixed season on a high, and give them plenty of confidence heading into the next campaign.