Does This Mean We're Married? (1992)

"He wants her money. She wants a green card."

It's a green-card marriage romance. Deena, an American standup comic living in Paris, has an expired visa. So, she marries Nick Foulliet, a struggling musician with a different woman for every day of the week. First the immigration investigation, and then a series of financial disasters push Deena and Nick into spending time together, and they fall in love. But can their in-name-only marriage become real?