Would you let your GF sleep in the same bed with another guy?

[pearljam]

First I would like to say this post is entirely unrelated to the "Would you let your girlfriend go skinny dipping with other guys thread".
Here is the situation, a long distance relationship that has lasted for about a year. Her best friend, who happens to be a guy, recently became homeless and is in transition to buy a new house. She has a small apartment and the guy asked to move in with her for a few weeks, the only place to sleep is on the bed. She sais nothing is going to happen but im not sure if I trust her that much. I say let him sleep on the floor and no problem, but obv. she sais he would be uncomfortable. What is the correct play in this situation?