The pair were spotted tenderly locking arms during the filming of season three of Apple TV Plus’ The Morning Show on the Coney Island boardwalk, Brooklyn.
They were photographed talking animatedly before walking off with their arms linked.
It comes after a source recently claimed to Woman’s Day that Jennifer had always liked Jon, but the timing had never been right before.
“They’ve crossed paths before, but she’s always had a husband by her side. Not this time!” they said. “And there’s no doubt Jon is completely taken by Jen.”
Express.co.uk previously contacted Jennifer and Jon’s reps about the romance rumours.