Kozak is out of favour at Villa Park, and has yet to make a single appearance for the Midlands side in the Premier League this season.
He started pre-season in good form under Tim Sherwood, but failed to ever make his way into the head coach’s starting plans.
In recent weeks, the 26-year-old has failed to even make into a matchday squad, with Remi Garde not once calling him up to be part of his 18 selected players.
Kozak has scored four goals in 16 games for Villa’s first-team, but his lack of action this season has forced him to look for a move away, and the report claims that he is ready to leave Villa Park on a short-term loan deal.
Birmingham are in the market for a new forward due to the injury to Clayton Donaldson, and Gary Rowett has lined up a move for Kozak if Villa accept his departure.
With just days left of the Football League loan window - it closes on Thursday this week - Birmingham will be hoping their second city rivals allow the striker to move to St Andrews in the coming days.