Despite Oli McBurnie’s second-half opener, his fifth goal in six games, United couldn’t hang on and were pegged back when Troy Deeney equalised for the visitors soon after.
United had chances to win, substitute Billy Sharp seeing his one-on-one shot well saved by John Ruddy, and Norwich's win away at Blackpool saw them move to within a point of Paul Heckingbottom's men at the top of the Championship table.
Here’s how we rated the Blades against the Blues...
1. Player Ratings
Rhian Brewster of Sheffield United and Auston Trusty of Birmingham City challenge for the ball: Simon Bellis / Sportimage Photo: Simon Bellis
2. Wes Foderingham 6
Did well to keep his cool and the ball when Hogan looked to deflect Deeney's flick past him and had little chance of keeping the former Watford man out for the equaliser after he found himself with the freedom of Bramall Lane to finish. Photo: Simon Bellis
3. George Baldock 6
Looked at his furious best early on as he raged at Khadra and almost netted in the first half but his shot was saved by Ruddy after good combination work from Berge and Basham Photo: Isaac Parkin
4. Chris Basham 6
Was the architect of a great bit of play in the second half when he won the ball in defence, steamed forward and then continued his run to cross for Ndiaye, whose header went wide. Photo: Simon Bellis