My wife had a jigsaw board that was very good. I can't find the exact one, but the usual thing of two end flaps that fold over to cover the jigsaw. Unfortunately it was damaged when a sofa spring broke and dug into the board, which was stored under the sofa.
We've now bought a jigsaw table because the board meant crawling on the floor, unless you have a large table available. However, those are quite expensive.