The singer, 27, and the actor, 26, are said to have been sneaking around London in disguise in a bid to keep their budding romance under wraps for 'several months'.
Taylor and Joe - who still lives at home with his parents - are already very serious, The Sun newspaper has claimed.
They shared lots of laughs while Taylor pointed out some areas of her childhood home.
She's been walking around with Joe in London using disguises, like scarves and hats, to keep her identity under wraps.Taylor has also dated One Director singer Harry Styles and Scottish DJ Calvin Harris, as well as John Mayer, Conor Kennedy and Jake Gyllenhaal.She has been staying out of the public's eye for three months and, according to the insider, is desperate to avoid the public scrutiny she faced while dating Tom, 36.Finally, the source stated that they've been together for several months and have known each other for quite some time. We last saw Swift in a relationship last fall with star Tom Hiddleston, following the breakup with Calvin Harris.They held it down for about three months when, allegedly, Hiddleston's push to make the couple's relationship more public became too much to deal with, according to .