The showrunner confirmed on Twitter that the fate of the Fox sci-fi drama will be decided "this week".
"[We] should know something this week," he wrote. "Feeling good. All of your support and positive thoughts help."
Wyman, who executive produces the series alongside Jeff Pinker, added that Fringe will return for just 13 episodes if picked up by Fox.
However, he ruled out the possibility of a Fringe film, telling a fan: "No plans for a movie."
Series star Seth Gabel (Lincoln Lee) recently admitted that he feels frustrated about the show's uncertain future.
"It sucks that it's a possibility of it being the end," he said last month. "We all hate it. You look at the [audience] numbers and you can only imagine what Fox is feeling."
Fringe continues on Fridays at 9/8c on Fox. The show airs on Sky1 in the UK.
> Lost star Rebecca Mader to appear in Fringe season finale
Watch a promo for the next Fringe below: