"It's a start," and he knows she's right. This is probably not a conversation they should have in public, let alone an argument, but he's got a feeling that if he lets her put it off he won't get anything out of her about it at all.
Overall, this isn't an ideal arrangement, but it's the best Han has. The best he's ever really come up with to deal with her, and it suits them pretty well. Mostly he's just glad Leia isn't storming off and acting like he's just another officer she gets to dismiss.
Still, he deflates a little once he's got the point across. He knows that this isn't just a sore subject with Leia, it's more like an open wound.
"C'mon. We can get something to eat and you can tell me all about it. Preferably without acting like I don't know the first thing about you."