The Bhoys will take on Old Firm rivals Rangers at Hampden Park in Glasgow in the semi-finals of the Scottish Cup on Sunday afternoon.
Former Celtic striker Walker has backed Brendan Rodgers’s side to get the better of Pedro Caixinha’s team.
The Sky Sports pundit has also predicted Scott Sinclair to make the difference in the game.
The 28-year-old former Chelsea and Manchester City winger has scored 23 goals in 43 appearances in all competitions for the Glasgow giants so far this season.
While predicting Celtic to win 2-0 against Rangers, Walker told Sky Sports: “Under the guidance of Graeme Murty, Rangers competed well with Celtic in the most recent league clash at Celtic Park and deserved a point.
“Murty achieved this with experienced players while new boss Pedro Caixinha looks likely to start with youngsters David Bates, 20, and Myles Beerman, 18. Given that the young men have helped not to concede in their last 3 games suggests they are up to it.
“The message from Brendan Rodgers must be that Celtic are 2 games away from a treble, a magnificent achievement. Moussa Dembele has gone off the boil recently but remember, he too is 20. I expect Scott Sinclair to be the difference, in my view the Celtic & Scottish Premiership player of the year.”
Celtic have a better squad than Rangers and will head into the semi-final tie as favourites.
The Celtic Park outfit are still unbeaten in domestic competitions in Scotland this season, and they will be determined to maintain that.
Having already won the Scottish Premiership title and the Scottish League Cup this season, Rodgers’s side will now be aiming to clinch the Scottish Cup.