A source close to the Grammy winner, 27, tells PEOPLE exclusively the duo are still “very happy together” and continuing to spend time with each other out of the spotlight.
For all the details on Swift’s new music and her life now, pick up the latest issue of PEOPLE, on newsstands Friday.
Earlier this year, Swift spent an extended period of time with Alwyn in the U.K. while he filmed his upcoming movie The Favourite.
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The actor also often visits his girlfriend in the States and “is very happy about spending time at home with Taylor,” adds the source. “They seem to be on the same page. Joe is getting to know Taylor’s parents and everyone likes him. He is very supportive of her work.”
Her album Reputation is out Nov. 10.