The 26-year-old 'Liz & Dick' actress is besotted with the singer and had even allegedly punched a woman he was talking to in a New York bar, reported TMZ online.
After Lohan appeared backstage at the Jingle Ball in Philadelphia, where The Wanted performed, a friend of George said that he didn't arrange for her to be there and has no plans to date her.
However, the singer has previously called Lohan a 'top girl' and defended her from the furore surrounding the scuffle between the actress and Tiffany Mitchell.
"We were just out and there was a bit of trouble with someone in the club. But it got blown out of proportion to be honest," he had said.
George also said that he would love to hang out with Lindsay again.
"She is cool. She was a top girl. She is good fun. She is a nice girl," he added.