The Big Bang Theory actress looked casual yet chic as she strolled with Ryan in the Los Angeles sunshine on Monday (5 August).
Kaley and Ryan were spotted picking up juice at a coffee shop and doing a spot of shopping. A few days before Kaley had been seen watching Ryan playing tennis, before they switched roles and he sat on the sidelines to watch as she rode her horse.
Neither have confirmed their status but Kaley, who plays Penny on Big Bang, was first linked to tennis pro Ryan last month, following her split from Man of Steel star Henry Cavill.
She dated gorgeous Henry earlier this summer but their brief romance ended just a couple of weeks after it became public knowledge.
As for now, it seems it's still early days with Ryan, with a source close to Kaley telling E! News it's still in the "getting to know each other phase".
One thing that Kaley and Ryan already have in common? Kaley was a nationally ranked amateur tennis player as a kid.