The Blues have drawn two and lost two since the restart, leaving them down in 17th place, while Swansea are in eighth after a mixed set of results on their return to action.
Three victories in a row in early February had Birmingham looking up at the playoffs, but they have failed to win any of their last nine matches since then.
That run includes back-to-back defeats at the hands of Huddersfield Town and Fulham - the latter a cruel 1-0 loss after Josh Onomah struck in the 95th minute at Craven Cottage.
Birmingham's luck is well and truly out, then, and any hopes of a promotion push have long been out of the question.
Indeed, with five games remaining City are not yet entirely out of the relegation picture, sitting as they do just five points and five places above the dropzone.
Pep Clotet's men still have Charlton Athletic and Stoke City, the two sides directly below them, to face during the run-in, so it could yet be a nervy end to the campaign.
A win over Swansea in midweek would go a long way to ending any tension for Clotet, who announced during the lockdown that he will leave St Andrew's later this summer.
Swansea are in need of the three points for a different reason, with the gap on bitter rivals Cardiff City in the final playoff spot standing at four points.
The Swans kept their campaign alive with a 2-1 win over Sheffield Wednesday on Sunday, coming on the back of disappointing results and performances against Luton Town and Millwall.
This trip to lowly Birmingham is by no means a gimme, though the Blues have failed to win any of their last five home matches and looked deflated after the late loss at Fulham.
Steve Cooper's men are also unbeaten in their last four meetings with Birmingham, a run that includes a 3-0 victory in the reverse fixture 11 months ago.
Birmingham City's Championship form: DLDDLL
Swansea City's Championship form: DDWLDW
Former Swansea midfielder Josh McEachran is Birmingham's only confirmed absentee for this midweek clash after sustaining a serious knee injury in February.
As for Swansea, Jordan Garrick is serving the last of a three-game ban following his sending off against Luton recently.
The three-at-the-back system worked well, but Wayne Routledge looked out of place on the left and may make way here.
Birmingham City possible starting lineup:
Camp; Colin, Roberts, Clarke-Salter, Pedersen; Sunjic, Gardner; Hogan, Bellingham, Bela; Jutkiewicz
Swansea City possible starting lineup:
Woodman; Cabango, Guehi, Van der Hoorn; Roberts, Fulton, Grimes, Naughton; Gallagher; Ayew, Brewster
We say: Birmingham City 0-1 Swansea City
Both teams still have something to play for in the final stretch of the season, with Birmingham looking to make certain of their second-tier status and Swansea chasing down the final playoff spot. Boosted by their return to winning ways last time out, we are backing the Swans to edge Wednesday's clash in the Midlands.