Boss Brendan Rodgers says it would be a "remarkable achievement" if Celtic managed an unbeaten season.
The Hoops need to avoid defeat to Hearts on Sunday in order to become the first team to go a 36-game Scottish Premiership campaign unbeaten and anything other than a defeat will also see them break the points record for a season.
"We matched 33 wins, which is the most wins in the history at Celtic," Rodgers told BBC Scotland. "We go one behind in the record for goals. Now we're on to 104. So, we've got everything to play for."
Celtic, who are 46 games unbeaten in all competitions, will win the domestic treble if they beat Aberdeen in the Scottish Cup final on May 27th to crown a remarkable campaign for the Hoops.