Taylor Swift, Calvin Harris Living Together, Engagement News Coming Soon?

Are they or aren't they? Reports circulated Monday that Taylor Swift and Calvin Harris are not only living together at his Beverly Hills home, but the two are talking about getting engaged! Now, reports are out that say the first reports simply aren't true.

E! News originally reported the story, citing an unnamed source who spilled the beans.

"Now that her tour is over, they are living together at his house in Beverly Hills while she is having some work done on her new home (she was staying there in between tour dates too, but now she is back for longer and it will be more consistent)," the source said.

The source continued, "They are definitely talking about their future together and the possibility of one day getting engaged. Making it work, despite their huge demanding schedules, and her tour, has proved to both of them that this is something that is serious and that could last. It's really cemented their commitment to one another."

The story followed several weeks' worth of cute photos of the two enjoying their holidays together. As was widely reported (and documented on Instagram), the pair spent the holidays together, enjoying the snow in Colorado with Swift's family for Christmas and heading to Las Vegas for the New Year.

Swift was seen partying with Ruby Rose, HAIM, and her brother Austin Swift at the OMNIA nightclub as they cheered on Harris, who was working the DJ booth at the event.

Now, however, a rep for Swift says the story is completely untrue. In a statement to PEOPLE, Swift's rep says, "They are absolutely not living together." The rep had no comment on the engagement talk rumors.

Another source also told PEOPLE that the adorable couple are "happy and in no rush to settle down."

Swift recently wrapped up her 1989 World Tour. If her Instagram is any indication, she's looking to relax and recoup in the coming months.