Mm.

[Billy takes note of the signs of weariness, his brows furrowing. Loki had said that he couldn't sleep, but he really does look exhausted.

Time to use the big-brother reverse psychology or something, then, stretching his arms over his head.]

Not to kick you out or anything, but do you think you could consider it at home? This fire's putting me to sleep.

[It's not even a lie, either; he could go for an afternoon nap after too many restless nights.]