Jumping into bed

I’m a new bunny owner and found out that my 5 month old bunny can jump onto my bed. (I obviously knew they could, but he’s been pretty shy and not doing these types of things until recently—he’s also a dwarf and I didn’t think he could reach)

This is obviously fine with me—but he did it while I was asleep and thankful woke me up.

I’m just worried about hurting him on accident if I don’t know he’s there.

Any tips? I don’t wanna have to keep him in his pen at night🥲

PS: he goes to the place I kept his treats on my headboard—they have been removed. Will he learn not to jump onto the bed to try and get them when he realizes they’re not there? Or is he just a bed bunny now