Jurgen Klopp's men put themselves in a good position to reach the final with their first-leg victory, although as still fighting to confirm their qualification for next year's competition.
Four points adrift of safety with only three matches remaining, the Potters are available at 43/4 (11.75) to keep their slim survival hopes alive with a shock win on Merseyside.
Alex Oxlade-Chamberlain went off with a serious knee injury against Roma and is out for the season, joining Adam Lallana, Emre Can and Joel Matip on the sidelines.
Paul Lambert remains without Eric Choupo-Moting, Lee Grant, and Konstantinos Stafylidis, while Kevin Wimmer is a doubt.
While Tuesday's impressive Champions League performance will have been daunting viewing for Lambert, the Reds continued involvement in that competition would actually work in his favour.
With Oxlade-Chamberlain's injury placing further strain on an already depleted squad, the hosts may be forced to field a weakened line-up in preparation for Wednesday's second leg at the Stadio Olimpico.
This rotation is likely to further unbalance a backline that has conceded two late goals in successive matches, and kept just one clean sheet in four.
With Stoke having found the net in four of their last five games, odds of 91/100 (1.91) are well worth backing on them joining a weakened Liverpool team on the scoresheet for a fourth encounter in five.