Have a look at the first couple of images. The top of the desk IS between the sides, each side has two legs and a support for the top.
The top is slightly recessed into the sides so that the weight won’t be borne by the fastenings, the top rests on the sides but the highest part of the top (the top of the top!) is actually below the highest point of the sides to stop things from rolling off the desk.
You can click to zoom in on that second picture to see some more detail.
Darnit, I just re-read your message and it says ‘bed’ before legs. Darnit. Yes, the desk can fit between the legs but it won’t for the first room it’s going to go into. It will be next to it as in the first image at the top.
The second suite will go into a slightly smaller room so I’m not sure exactly how we are going to lay it out.