The 41-year-old has previously stated that Celtic not winning the domestic trouble would be a 'massive flop,' while at the same time suggesting that, if the Bhoys did win the treble, it would be the least convincing in their history.
Now, Sutton has defended that stance - and the ex-striker has also expressed his concern ahead of Celtic's Europa League tie with Inter Milan.
Indeed, according to the former Celtic striker, that tie could be over for the Hoops in the first 20 minutes.
That's if Ronny Deila doesn't change his tactics...
"The record defensively in Europe has been woeful and this is on top of Craig Gordon’s heroics time after time," Sutton wrote in his Daily Record column.
"This isn’t rocket science and everyone can see it but if Celtic do not learn the lessons from Legia Warsaw and the Europa League campaign in general then the Inter Milan tie could be over in the first 20 minutes.
"This isn’t a great Inter team and Celtic have a decent chance of going through if they can adapt the way they play."
Sutton wants Deila to adopt a less expansive style of play in Europe, unlike in the SPL, and has urged the Norwegian to curtail his full-backs in terms of going forward.
In six group games, Celtic conceded 11 games, scoring only 10, forming the basis for Sutton's concern.