After meeting on the set of their upcoming flick "Southpaw," rumor has it Rachel McAdams and Jake Gyllenhaal are dating. They have been spotted on a number of occasions together in the last week, and seem to enjoy each other's company. We think they make such a cute couple!

Gyllenhaal and McAdams were recently spotted at Lugo Caffe in New York before heading to Madison Square Garden for the Miguel Cotto and Sergio Martinez boxing match. He wore a baseball cap with jeans and a button-up shirt while the young beauty opted for a little black dress.

Four days earlier they were seen at Pittsburgh's Meat and Potatoes, where they are shooting alongside Lupita Nyong'o and Forest Whitaker.

"They arrived together and sat next to each other," a source told Page Six, who also noted the pair was "in deep conversation. They stayed for an hour at the packed party and looked happy and very friendly."

Other sources insist the stars are just friendly and researching roles.

The "Love and Other Drugs" actor has previously been linked to Kirsten Dunst, Reese Witherspoon, and Taylor Swift. McAdams began dating music manager Patrick Sambrook after splitting from "Midnight in Paris" co-star Michael Sheen.

If the two are dating, things could be awkward, as McAdams joined forces with Swift on a reading campaign. They are among many to participate in the READ campaign with the American Library Association. The stars are featured posing with their favorite books to promote the importance of reading.

She will also take part in the next series of TLC's "Who Do You Think You Are? U.S."

Gyllenhaal is rumored to star in "Demoliton, helmed by "Dallas Buyers Club" director Jean-Marc Vallee.

Do you think he is dating McAdams? Let us know your thoughts in the comments section below.