Hudis - whose previous credits include Nurse Jackie and That '70s Show - will be promoted from his current co-executive producer's post if True Blood is picked up for a sixth season, according to Deadline.
Hudis has signed a two-year deal with True Blood broadcaster HBO which includes the potential for new series development.
Current showrunner Alan Ball recently announced his intention to step down at the end of the show's fifth season as he steps up work on new crime drama Banshee for HBO's sister network Cinemax.
However, Ball will maintain a supervisory role on the show.
The fifth season of True Blood premieres on Sunday, June 10 at 9/8c on HBO. It will air on FX in the UK later this year.
Photo gallery - 'True Blood' season 5 preview images: