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

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I'll tell you what dude. One of my good frieds in college was a girl. She got a boyfriend our senior year who was not comfortable with our close friendship. I did two things A) went out of my way to get into situations like that, including not going out and drinking alone together, staying at her place even though she had a seperate bedroom and B) made a good effort to become friends with him and make clear that I was not going to be playing the "good friend there when boyfriend messes up" card.

This dude wants to sleep in the same bed and you even need to think about this?

The only question IMO is whether you break up with her for even putting you in this spot.