Lohan attended the British band's Boston gig yesterday (December 6) and was invited to travel with them on the coach by singer Max George, according to TMZ.
George is also said to have invited Lohan backstage at the Jingle Ball in Philadelphia, where The Wanted were performing.
However, a source claimed that Lohan and George are not dating, at least not seriously, saying: "[George] doesn't want a girlfriend, and is a single guy... but he doesn't mind having Lindsay around."
Lohan was first linked to The Wanted after she was arrested on suspicion of assault in New York City last week, as it was rumoured that the argument had been about George. His involvement was later played down as the other woman in the fight alleged that Lohan had called her a "f**king gypsy".
George has since described Lohan as a "good girl", while his bandmate Jay McGuiness wore a 'Free Lindsay' shirt on stage and later said that she is a "total sweetheart".
Watch the video for The Wanted's 'Glad You Came' below: