It was revealed earlier this year that Pegg will co-write the feature with Dark Blue co-creator Doug Jung, replacing Roberto Orci (Justin Lin replaced Orci as director).

"It just came out of conversations I was having with [Star Trek executive producer J.J. Abrams] and Bryan Burk, and they decided to kind of like restart the process," Pegg said, as quoted by Comic Book Resources. "Because I’d been on the set with Burky on Mission: Impossible, he said, 'Maybe you should come on and write it' with Doug and Justin and him and Lindsey Weber. And I was a bit, 'No. I don’t want to — it’s too much pressure!'"

The third movie will, he said, "take it forward with the spirit of the TV show," going on to describe the story as being "about frontierism and adventure and optimism and fun, and that's where we want to take it, you know. Where no man has gone before — where no one has gone before, sensibly corrected for a more enlightened generation. But yeah, that's the mood at the moment."

Star Trek 3 is scheduled for a July 2016 release.

Read more Simon Pegg and 'Dark Blue' Co-Creator Doug Jung to Write 'Star Trek 3'