I like to think that, in his head, he's justifying his actions by claiming that the Batman needs to know everything that's going on in Gotham, but that Babs knows it's really just an excuse for him to see Selina again.
That's pretty much how I'm reading that as well. Somewhere, Babs is facepalming.
"She doesn't have to know I'm there."
Ah, stalking as Bat-love. Selina would presumably be very pissed if he did play it this way.
There really is a lot of sexual tension in these scenes. Bruce would never slide his hand up Selina's thigh this way if he was Batman, but that's the way someone sleazy like Matches would act.