Reports circulated earlier this week that Kelly had split from New York Yankees star Derek Jeter, with a representative for the couple confirming they were no longer together.
However, Kelly has allegedly been spending much of her spare time with Rodriguez while filming the ABC reboot.
"We have seen Minka and Ramon talking in his trailer way after hours, and often late into the night," a source told People. "They have been together long after they need to be for the show."
Despite speculation surrounding the two actors' friendship, another source has suggested the relationship is purely platonic.
"They're just friends," the source explained. "Ramon is basically the only guy on set so of course they all hang out with him."
Kelly is joined by Rachael Taylor and Annie Ilonzeh as the three female leads on Charlie's Angels, while Rodriguez stars as John Bosley.
Charlie's Angels will premiere in the US on September 22 at 8/7c on ABC.
Watch Minka Kelly in the trailer for Charlie's Angels below: