updated 08/02/2012 AT 9:00 AM ET
•originally published 08/02/2012 AT 11:05 AM ET
And indeed, a friend of Perry’s tells PEOPLE that the pair have been chatting on the phone and have gone out a few times – but they’re taking things slow.
“I don’t think either of them are trying for anything serious right now. She’s not talking like he’s ‘The One,’ ” the pal says. “She’s comfortable around guys who understand the craziness of that world, which he definitely does.”