Kris Commons powered home a strike from 12 yards to level the score for Celtic in Inverness.
Nicky Ross had given Caley Thistle the lead in the opening five minutes but goals from Commons, Rami Gershon and Miku gave Celtic a 3-1 win in the Highlands ahead of their Champions League last 16 tie with Juventus.
Commons has now netted 11 goals this season with Celtic 18 points clear at the top of the SPL.
Speaking after the win over Inverness Celtic manager Neil Lennon said: "I am delighted and I think you saw a wee glimpse of what is coming through.
"Marcus Fraser, Dylan McGeouch, Rogic, young players who I thought were fantastic today. And the players on the cusp of the first-team squad like Thomas Rogne and Miku came in and did well.
"So all in all, to come here to a side in second place who were playing their first team, and to win with that team we had, speaks volumes for the performance of the players."