A source close to the production of his new film Mena tells PEOPLE that rumors of a relationship with his on-set assistant for Mission: Impossible – Rogue Nation, Emily Thomas, are untrue.
The source says that reports of an engagement "are utterly made up and ridiculous. They're not getting married, They're not even dating. Nothing is going on. It's completely professional."
In fact, Thomas, 22, is in a relationship (and on vacation) with her boyfriend, Alex Roberts, a 25-year-old director of a U.K. carpentry firm. According to British media, Thomas recently changed her Facebook profile photo to show the two of them together.
Cruise has been married three times, most recently to actress Katie Holmes. The couple split in 2012 after five years of marriage, and share one daughter, Suri, 9. The actor was also wed to Nicole Kidman and Mimi Rodgers.
VIDEO: First Look at Tom Cruise in Mission: Impossible Rogue Nation
The action star recently revealed that he'd be interested in reprising his role in Top Gun 2.
"It would be fun. I would like to get back into those jets," Cruise told Reuters. "It would have to be practical. I don't want any CGI jets. I want to shoot it like how we shot the first one."