Both sides are seeking to return to winning ways, having each fallen to 2-0 away defeats over the weekend.
The hosts were defeated by Huddersfield on Saturday, with Tom Lees and Duane Holmes scoring in either half to give the Terriers all three points.
Paddy McNair and Joshua Coburn scored late second-half goals to inspire Middlesbrough to a 2-0 win over Peterborough on home turf.
Wednesday's game will be a relegation six-pointer between two sides who are already swimming in the murky waters of relegation. Peterborough are currently in 23rd spot on eight points while the home side are just one point and one spot above the dropzone.
Hull City vs Peterborough United Head-to-Head
This will be the 41st meeting between the two sides and Peterborough have a superior record with 19 wins to their name.
Hull City were victorious on 12 occasions while nine matches in the past ended in a share of the spoils.
Their most recent meeting came in a League One fixture last season when Hull City secured a 3-1 victory over their 10-man hosts en-route to winning the league.
Both sides finished in the top two positions in England's third division but have found the going tough since they stepped up. Hull City started the campaign with an impressive 4-1 away victory over Preston but have managed just one win since then.
Peterborough also have just two wins in the Championship this term.
Hull City form guide: L-W-D-L-L
Peterborough form guide: L-L-D-L-W
Hull City vs Peterborough United Team News
Alfie Jones (hamstring) and Brandon Fleming are the only two injury concerns for the hosts.
Injuries: Alfie Jones, Brandon Fleming
Ricky-Jade Jones (knee), Jack Marriott (tendon) and Joel Randall are all unavailable due to fitness issues.
Injuries: Jack Marriott, Joel Randall, Ricky-Jade Jones
Hull City vs Peterborough United Predicted XI
Hull City Predicted XI (4-2-3-1): Matt Ingram (GK); Callum Elder, Jacob Greaves, Di'Shon Bernard, Lewie Coyle; Andy Cannon, Greg Docherty; Keane Lewis-Potter, Ryan Longman, George Moncur; Mallik Wilks
Peterborough Predicted XI (4-4-1-1): David Cornell (GK); Dan Butler, Frankie Kent, Ronnie Edwards, Nathan Thompson; Siriki Dembele, Jack Taylor, Oliver Norburn, Harrison Burrows; Jorge Grant; Idris Kanu
Hull City vs Peterborough United Prediction
The fact that both sides are struggling for form means they will play with extra caution to avoid dropping points to a direct relegation rival.
The two managers are likely to prioritize not losing rather than trying to win and this could translate into a low-scoring game of few chances. We are predicting a share of the spoils with goals at both ends.
Prediction: Hull City 1-1 Peterborough