According to the New York Daily News, the actress and the musician have been seeing a lot of eachother during the past few weeks in New York.
The two celebrities met for the first time when Lohan worked in the film Chapter 27, the film that recounts the assasination of John Lennon.
Lohan, 19, and Lennon have been dining together, and partying until the early morning hours. Last month, in an interview with the New York Post, Sean Lennon, 30, said that he is ready to meet the right woman.