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(CBS NEWS) -- Michael J. Fox would not be thrilled if Taylor Swift dated his son,Sam, who served as this year's Mr. Golden Globe. Then again, what fatherwould be, seeing as many of her ex-boyfriends manage to make their wayinto her music -- and are not always painted in the best light?

During the 70th annual Golden Globe Awards on Sunday, co-host Tina Fey jokingly warned Swift to "stay away from Michael J. Fox's son."

So when New York magazine's Vulture blogcaught up with Fox this week and asked if he would support a romancebetween the 23-year-old country-pop starlet and his son, also 23, Foxsaid, "No. No... Just back off."

The 51-year-old actoradded, "I don't keep up with it all. But Taylor Swift writes songs abouteverybody she goes out with, right? What a way to build a career."

Whenasked if he would recognize Swift, if she showed up to a family dinner,for instance, Fox, said, "I wouldn't even know who she was." But hesaid he might put it all together if a song about his son surfaced lateron. "Yeah, exactly," he said. "'Sam, You Piece of [Expletive].'Oh...that was the girl you brought home!"

Swift has datedthe likes of John Mayer, Jake Gyllenhaal, Taylor Lautner, Joe Jonas andConor Kennedy. She most recently got cozy with One Direction heartthrobHarry Styles, but they have reportedly split. Swift was seen leavingtheir recent Caribbean vacation early -- and alone.

Fox, meanwhile, will star in an upcoming NBC comedy later this year.