Kim Kardashian, 41, and Pete Davidson, 28, were spotted flaunting some serious PDA this week while in Palm Springs, California, where the two celebrated Pete’s 28th birthday at Kris Jenner‘s desert home.

And as speculation continues to grow as to what is really going on, a source told HollywoodLife EXCLUSIVELY what the true status of their relationship is.

“They are not super serious like, ‘you are my girlfriend’ and ‘you are my boyfriend,’ but because they have really strong feelings for each other, they are not looking to date anyone else right now,” the source revealed.

Neither of them want to be with anyone else right now, but that does not mean that they are completely exclusive and locked into a monogamous relationship,” the source said, adding, “They know that they like each other and that they click on a physical and emotional level.” After photos surfaced the following day of Pete and Kim holding hands in a Palm Springs parking lot, HollywoodLife learned that they were not there for very long.

He is back in New York City right now and she is back in Los Angeles,” the source said