Have Katie Holmes and Matthew Perry struck up a romance on the set of their new television series?

According to a recent report, Holmes and Perry have been growing close to one another on the set of The Kennedys: After Camelot, despite Holmes' rumored years-long relationship with Jamie Foxx.

"There may be a new couple to ship on the horizon and it’s two of our favorite 90’s stars: Katie Holmes and Matthew Perry!" OK! Magazine reported earlier this week.

Speaking to the magazine, a source said Holmes and Perry were “spending a lot of time together.”

“There’s a real spark with them,” a source said. “They have had dinner a couple of times and clearly enjoy being with each other.”

They are also joking with one another about Perry's time on Friends.

“He teases her about it, in a really flirty way,” the source explained. “You can tell they really like each other a lot."

While Foxx's friend, Claudia Jordan, formerly of The Real Housewives of Atlanta, confirmed their relationship days ago, she later backtracked and a short time later, Foxx was seen partying with several scantily-clad women in a nightclub.

Reports of a romance between Holmes and Foxx first began in 2013 and have continued ever since. However, despite photos and video of them together, they have denied their romance.

"This is not some intense romance," a source told PEOPLE Magazine last year. "Jamie and Katie are friends and have been for a long time. They are two adults who are attractive and single, and so apparently conclusions will be drawn ... But contrary to those conclusions, they're not about to run off and make some serious commitment."

Prior to her alleged romance with Foxx, Holmes was married to Tom Cruise and the former couple share one child together, 10-year-old Suri Cruise. Holmes began dating Cruise in 2005 and in 2006, they were married just months after Suri Cruise was born. Then, in 2012, Holmes filed for divorce after five and a half years of marriage.