Bradley Cooper, star of Silver Linings Playbook, was spotted out in Boston with his rumored new girlfriend Suki Waterhouse on March 18.

Waterhouse, a 20-year-old model, and Cooper, 38, were first spotted together in the same car in London after the Elle Style Awards in February, according to Us Weekly.

See photos here.

In Boston, an eyewitness told E! News that the couple couldn't keep their hands off of each other. "They were having a good time together, touching and teasing each other. People were recognizing them so they walked quite quickly to avoid the crowds," the source said.

Cooper was in Boston shooting an upcoming David O. Rusell film that is currently untitled, according to Us Weekly. Amy Adams, Louis C.K., Christian Bale and Jeremy Renner will also be in the film. The film is scheduled to be released in December 2013.

Before Waterhouse, Cooper was dating actress Zoe Saldana, 34. The couple split before the holidays in 2012. Cooper has also briefly dated Jennifer Aniston, Jennifer Lopez and Olivia Wilde and dated Renee Zellweger for two years. From 2006 to 2007 he was married to Jennifer Esposito, actress, for four months.

Rumors that Cooper and Oscar winner Jennifer Lawrence were dating had been rife earlier this year after his split from Zaldana. However, Cooper brushed those rumors off saying that he was 'old enough to be her dad.'

But if rumors are true that Cooper and Waterhouse are dating, isn't he too old for 20-year-old Waterhouse who's younger than 22-year-old Lawrence?!

Tags: Bradley Cooper Suki Waterhouse