It's a good thing he doesn't ask. The answer might not be a fully coherent one anyway. But Loki has already made it clear: he trusts Clint. Which means trusting that he believes what he says.

"Yeah. I do." Could have saved them the trouble by not asking, but what kind of example would that set if he just went around making assumptions about what someone like Loki does or does not want? "So. We're both asleep; it's not like we're not getting rest. Should I just go hang out unobtrusively in a corner, let this thing keep rolling, until one of us wakes up naturally?"

He knows the answer to that is also no, but that one is not really the point.