The Robins have won each of their last nine consecutive matches to extend their unbeaten streak to 15 games, and have already beaten Premier League Huddersfield in this season's competition.
Nevertheless, the hosts are 18/5 (4.60) outsiders with 888Sport to take their place in the quarter-finals for the first time since 1974 with a shock win here.
Nuno Espirito Santo's men have lost just two of the last 18 meetings against this opposition, and are 17/20 (1.95) favourites to come out on top in this one.
The guests needed a replay to get past Shrewsbury Town after being held to an away draw in the original tie last time out, and you can get odds of 12/5 (3.40) on this one also finishing up all square after 90 minutes.
Liam Walsh, Marley Watkins and Korey Smith are all doubts for City after missing Tuesday's win over QPR due to injury.
The guests have a fully fit squad to choose from, although may choose to continue their policy of playing a rotated line-up in the cup.
Goals at both ends
Having conceded twice in both matches against a Shrewsbury side struggling in League One, Wolves hardly inspire confidence of keeping at bay Lee Johnson's high-flying Championship outfit, which has not failed to find the net in 15 fixtures.
In fact, the visitors have only kept two clean sheets in 21 matches in all competitions, although have scored 16 times themselves in just the last six games.
All in all, odds of 49/50 (1.98) seem decidedly generous on both teams getting on target for Bristol City's seventh home game in 10, as well as a sixth match in seven for their opponents.