The couple have been inseparable past few months and some people worry that this might effect Styles' bonding with his bandmates, reported Femalefirst.
Recently, Styles preferred flying with Swift rather than his bandmates when they were returning from New York.
"There was loads of room for the rest of the band in Taylor's luxury jet, but he didn't even suggest they traveled together," a source said.
Swift is even being compared to late singer John Lennon's wife Yoko Ono, who is said to be responsible for Lennon separating from his band The Beatles.
"It's really not far off from the Yoko situation," the source added.
