In fact, they were spotted on an intimate dinner date in Beverly Hills just this week.
According to UsWeekly, the twosome dined at La Dolce Vita on Monday night and spent the following day together as well.
Apparently, the Coldplay frontman is not only a talented singer, but he's funny, too. "They were laughing a lot and Jennifer was acting all goofy!" a source tells People. "They were super cute together."
Gwyneth Paltrow's former flame, 37, reportedly is pulling out all of the stops to woo the 24-year-old Oscar winner. "Chris is sweeping Jen off her feet. That's his thing," an insider tells Us. "He writes her songs and loves taking her to private, romantic spots."
A few days before her birthday in August, Chris and Jen watched the sunset at Wolffer Estate, a vineyard in the Hamptons. J. Law split with her boyfriend Nicholas Hoult earlier this summer.
Do you think Jen and Chris make a good pair?