Goals from George Honeyman and Keane Lewis-Potter secured a 2-0 win for Hull over Barnsley before the international break, ending a run of five successive defeats in the process.
Grant McCann admitted that the break probably came at the wrong time for the Tigers, who would have wanted to try to build some momentum and move out of the bottom three.
Nonetheless, with a trip to 20th-placed Cardiff City to come on Wednesday, McCann will feel this could be an important week for his side.
Hull are the Championship’s lowest scorers this season with just 11 goals to their name, while no team in the division has picked up fewer points at home (five).
However, the Tigers are unbeaten in their last four matches against Birmingham and have won six consecutive games against Blues on home turf.
Birmingham have just one win from their last six away games, yet only league leaders Bournemouth have conceded fewer goals on the road in the Championship this season.
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The last time that Blues won at the MKM Stadium was in the Premier League in 2009, when current boss Lee Bowyer starred in midfield.
The Midlands outfit conceded twice in the final 20 minutes to lose 2-1 to Reading before the international break, a defeat which ended a run of three consecutive wins.
It means that Birmingham currently sit four points behind the playoffs, with a Midlands derby against Coventry City to come on Tuesday