The 34-year-old actor - who stars as Vulcan character Spock in the reboot of the sci-fi TV series - has been shooting on the J.J. Abrams-directed follow-up for nearly two weeks, and admits filming so far has been "incredible", but adds he didn't even know the story until last month.
He said: "It's been really great. We've been shooting for a week and a half and it's been an incredible return to that world.
"It was the middle of December and finally I had to be like, 'We need to read The Script!'
"They waiting a pretty long time, but that's because they were working on it. There was a writer's strike the first time so they weren't able to let the script evolve. Now it's really changing, on a regular basis."
He added to E! News: "All of them have folded in so beautifully and brought a whole new level of intelligence and sensitivity."