Britney Spears and Jason Trawick
Splash News Online
08/19/2009 AT 01:45 PM EDT
made a splash by reading the Top 10 list on The Late Show with David Letterman in her bikini
Tuesday – but in her personal life, the pop singer is keeping things breezy with her beau, agent Jason Trawick.
"Things are fine – they still maintain a great working relationship and he's in her life as a great friend as he's always been," a close source tells PEOPLE.
Contrary to recent reports that the two ended their romance, the pair continue their relationship, according to the source. "Jason did not break up with Britney. That's totally false."
So while they are not exactly headed for the altar, the pair have a great mutual respect for one another.
"Things are casual … Britney really listens to what he has to say. He's been with her a long time, he gets along with the family," says the source. "He has her best interests at heart, and he cares about her."