Celtic – who have won 16 of their 23 home fixtures in the group stage of Europe's premier club competition – sit bottom of Group H but could move up to second and into the qualification spots with a victory if, as expected, Barcelona beat Ajax.
Neil Lennon's side extended their unbeaten Scottish Premiership record to 16 matches on Saturday, as Derk Boerrigter and Kris Commons scored in injury time to give them a 3-1 home win over Aberdeen, putting them five points clear at the top of the table.
Celtic - who lost 1-0 at Ajax in their last Champions League fixture – have won four of their five home matches in this season's competition.
Milan beat Celtic in the reverse fixture at San Siro earlier in the season, as Emilio Izaguirre's own goal was followed by Sulley Muntari's late strike, giving the hosts a 2-0 success in September.
Adam Matthews (broken collarbone) and Steven Mouyokolo (Achilles) are sidelined for Tuesday's match.
Similar to last season, Milan have made a sluggish start to their campaign, with Massimiliano Allegri's men having claimed just 14 points from 13 Serie A matches.
Key to Milan's struggles has been their away form - they have not won in nine matches on the road in all competitions, losing four and drawing five.
