[Privacy should be less of an issue by now, but apparently being in such a familiar place - where women do not usually tread - means he's reverting to his old, more shy habits. Temporarily, perhaps, but still enough for him to turn his back to her while she's getting dressed. ]
We can pick up something better in the morning. [Implied - if this lasts that long. He's still worried she'll just up and vanish at any given moment.]