Bradley Cooper‘s next big role? Dad.

The actor’s girlfriend, Victoria’s Secret model Irina Shayk, is pregnant with their first child, a source tells PEOPLE. Reps for the couple have not confirmed the pregnancy or responded to requests for comment.

Shayk, 30, and Cooper, 41, have been dating since spring 2015, not long after the former split from soccer star Cristiano Ronaldo and the latter from Suki Waterhouse.

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The happy couple aren’t shy about their romance, regularly stepping out together on exotic trips and at fun events.