Read more The 'Star Wars' Effect: Why Hollywood Is Hot on Abu Dhabi

Speaking on Oct. 16 at the opening of the London office for Industrial Light & Magic, Lucasfilm president Kathleen Kennedy said the Star Wars shoot in London's Pinewood studios was just "three weeks off" completion, while industry sources told The Hollywood Reporter that Nov. 3 was the last day of production.

A note signed by Kennedy, Abrams and producer Bryan Burk that was photographed and posted on Twitter thanked the cast and crew for their participation in Star Wars: Episode VII's production.

Read more Warwick Davis Returns to 'Star Wars' for 2015's 'Episode VII'

"We are here to make a film that entertains millions of people, of all ages, for generations. To create an experience people will cherish watching as much as we will cherish having made it, together," it read.

"From the deserts of Abu Dhabi, to the Forest of Dean, to the stages of Pinewood, you have risen to every challenge and been as wonderfully kind as you are brilliantly talented," it continued.

According to an insider speaking to THR but unconfirmed by Pinewood, the production for the next as-yet-untitled James Bond film is due to move into the space previously occupied by Star Wars: Episode VII.