The private eye drama was cancelled by FX earlier this month and concluded with its thirteenth episode on December 1.
Minear told Assignment X: "I don't think [Hank and Brit] went to Mexico [after the season finale]. I think for sure Brit would have gone to jail and served his time."
He added that the pair would have crossed paths again, despite Brit's incarceration.
He explained: "We probably would have come back after a period of six months... and played the first couple of episodes with Brit still in prison and Hank doing whatever he would be doing and we'd find a story inside that prison that we could bring outside into the world."
However, Minear admitted that planning on a second season had not gone beyond the early stages.
"We didn't really get all that far into plotting out what the second season would be, because we were so under the gun just trying to get the first season up on its feet," he said. "But the idea of starting with Brit in prison and not picking up exactly where we left off, but after some period of things having been shaken up a little bit, is probably where we would have come in."
Minear previously claimed that he had "no regrets" regarding the cancellation of Terriers.