Revived drama Dallas is considered highly likely to be picked up for a second season, Deadline reports.
The series - which stars Jesse Metcalfe and Josh Henderson alongside Dallas veterans Larry Hagman and Patrick Duffy - has pulled in impressive ratings for the cable network.
Cop drama Rizzoli & Isles is certain to be renewed, while a third season for sci-fi drama Falling Skies - airing on FX in the UK - is considered likely.
The fate of legal comedy-drama Franklin & Bash is less certain, with TNT monitoring the show's ratings performance over the coming weeks before making a final decision on its future.
Finally, Frank Darabont's new pilot LA Noir is close to getting a series pick-up.
The period drama will focus on the conflict between the LAPD and the mob and stars Jon Bernthal (The Walking Dead), Milo Ventimiglia (Heroes) and Simon Pegg (Star Trek).
> Larry Hagman on new Dallas: 'JR hasn't changed'
Watch a trailer for TNT's Dallas below: