Should they beat the Saints in midweek, many will see Ronny Deila's side as already having one hand on the trophy.
Despite being knocked out of the Europa League by Inter Milan last week, Celtic's league form has been impressive thanks to a run of eight consecutive wins.
Meanwhile, St Johnstone make the trip to Glasgow knowing that a victory could push them into the top half of the standings.
Tommy Wright's team have struggled for form in recent weeks, winning just one of their previous six matches in the league. Their last outing saw them held to a goalless draw at home to Kilmarnock on Saturday.
Celtic have won both of their matches against St Johnstone this season, including a 3-0 victory on the opening weekend of the campaign.
Leigh Griffiths is likely to keep his spot in the Celtic lineup after finding the net against Aberdeen, while the likes of John Guidetti and James Forrest could also start. The visitors have no new injury concerns.
Form in Scottish Premiership: WWWWWW
Form in all competitions: WWDWLW
Possible starting lineup: Gordon; Matthews, Denayer, Van Dijk, Ambrose; Brown, Bitton, Commons, Johansen; Mackay-Steven, Griffiths
Form in Scottish Premiership: LDDLWD
Form in all competitions: DDLLWD
Possible starting lineup: Mannus; MacKay, Wright, Anderson, Easton; Millar, Wotherspoon, Davidson, O'Halloran; MacLean, Kane
Sports Mole says: 3-0