Elizabeth Olsen and fellow Avenger Tom Hiddleston stepped out Thursday night for dinner in London, fueling rumors that the two are dating. The two started seeing each other two months ago after getting close on the set of their new movie, "I Saw the Light," according to Us Weekly.

Olsen, 26, and Hiddleston, 34, were recently spotted getting cozy while walking down the street together in Oxford on July 21. Two days later, they took a taxi to attend Bradley Cooper's West End production of "The Elephant Man." "They've been talking constantly. It's been good for the both of them, they really care for each other," an insider tells Us Weekly. "Neither of them are looking to jump into a large commitment, but it's getting more serious."

"She went to meet up with Tom after doing Paris Fashion Week and wrapping on 'Captain America: Civil War,'" a second source notes. Olsen recently called off her engagement to Boyd Holbrook. The pair broke up after dating for three years, reports the New York Daily News.

"I Saw the Light" is based on country music legend Hank Williams' life. Hiddleston takes on the role of Williams while Olsen plays his wife, Audrey Mae. The film is set for a November 2015 release.