How do I make my character fall off the edges of a plane when crossing the edges?

I have a very simple character. When I make him move in a certain direction off an edge of the plane, he continues to float rather than falling down. I have the plane functioning as a rigid body and locked its translations in all axises (X, Y, Z). I also gave the plane a collision bound (box with a margin of 1). As for my character, his physics type is set to “character” and I kept the step height, jump force, and fall speed max at the default values.
I gave the plane a solidify modifier and setted the thickness to 0.0100. I’m not sure if that affects the character falling off the edge of a plane or not, but I mentioned that just in case it helps explain my situation better.
Any boxes I should check/uncheck in the physics menu to fix this?