Suggestions for mushroom baskets that travel well on a bike

I’ve been pretty big into mushroom foraging in my area for the last couple seasons, both of which have been great! I have been looking for a mushroom basket to keep these things in when I find them, however the normal wicker baskets I see many people use seem impractical for me. I have to bike several kilometers to get into the forest, so I usually bring some sort of Tupperware or a reusable grocery bag to keep mushrooms in and stuff them into my backpack. Any suggestion for a good vessel for picking mushrooms with that can travel well on a bike? Thank in advance.