Can escape playpen- how to stop?

[Revonue]

I keep my rabbit in a sizeable playpen. He also gets time out each day to free roam/play.

We put those puzzle mats used for toddlers clothes-pinned to the top of his pen. When he wants, he pulls the pins down and then jumps out.

He has plenty of toys and is neutered, 24/7 access to hay. He mostly stays put.

But I worry about him escaping while I'm at work. I live with my boyfriend and his amputee mother and due to aspects of her exercise regime/recovery he can't free roam for another year or so.

Any advise? I plan to get him a rabbit friend when my boyfriend and I move out, but that won't be until his mom is better.

 

[Hermelin]

Put a sheet over the playpen by attaching it to the pen and create a roof. It will make your bunny not escape the play pen

 

[Blue eyes]

Can you post a photo of the set-up? I can't imagine how puzzle mats can create a roof. How tall is the pen?