Glen Mazzara will take over the reins on the AMC sci-fi drama, according to Deadline.
Darabont, who is reportedly standing down as showrunner, hired Mazzara as an executive producer at the end of the show's first season.
It is still unclear whether he will stay on The Walking Dead in another role.
Mazzara, whose previous credits also include Hawthorne and The Shield, also wrote an episode for the show's first season.
Broadcaster AMC is yet to comment on the reports although production on the series is believed to be carrying on as normal.
Season two of The Walking Dead premieres on October 16 at 9/8c on AMC in the US. It will air in the UK on FX in late 2011.
> Comic-Con 2011: 'The Walking Dead' panel - Live Blog
Watch the trailer for season two of The Walking Dead below: