The Bulgarian midfielder has enjoyed a run in the first team of late and will be a loss to Villa for the games against Portsmouth and Sunderland.
It is likely that the goalscorer against Arsenal, Craig Gardner, will now keep his place alongside the returning Nigel Reo-coker.
Petrov will be hoping for a speedy return from the sidelines in order to try and consolidate his first team place.
Martin O'Neill needs his former Celtic man to come back quickly as the squad faces its biggest challenge of the season with five more games in December.
Get well soon Stilian.