The 47-year-old actress played Lorelai Victoria Gilmore, which was one of the main characters in the comedy-drama that went on for seven seasons, reported E!Online.
"Yes, if a movie version could be as good as we'd all want it to be, I'd love to play that character again. I appreciate how many have asked. That character was so special - I wonder what happens to her too!," Graham said.
The 'Parenthood' star said she shares a special bond with actress Alexis Bledel, who played her on-screen daughter in the show.