The Hoops fell behind in last week's first leg in Glasgow but came roaring back to claim an emphatic 3-1 victory, and will be hoping to complete the job and set up a third qualifying round tie against AEK Athens.
Rosenborg overcame a first leg deficit in the previous round and bet365 offer 9/4 (3.25) that the Rini Coolen's side are victorious on home soil against the Hoops.
Celtic won in Trondheim 12 months ago to progress and bet365 offer 23/20 (2.15) that history repeats itself, while the same firm go 9/4 (3.25) that the match ends level after 90 minutes. A draw, of course, would be enough to send the Scottish champions through.
Jozo Simunovic is again suspended after his ban was extended to two matches by Uefa following his red card in the previous round of this competition against Alashkert.
Moussa Dembele, was not fit to face the Norwegians last week but could return to the fold in Trondheim and provide a timely boost for the Hoops.
There have been at least three goals scored in each of Rosenborg's last six home matches and, with Coolen's charges having to chase the game, there is plenty of potential for goals again here.
After recovering from a sloppy start in Glasgow, Celtic were vastly superior to the Norwegian champions in last week's first leg tie and Brendan Rodgers' men can book their place in the next round of the competition in some style.
The 23/20 (2.15) quote, therefore, for the Scottish champions to win in Trondheim for a second successive season could offer best value for punters ahead of Wednesday's tie.
Odds correct at time of writing. Please gamble responsibly.