That would be fine, but the movement ruins the whole game. It's too fast. When you need to reach a small platform, it is very difficult to do it, not because level design is at a high level, but because the movement is annoying, even if it's smooth. 

If so fast movement was intended, you could also make Coyote time ("Coyote Time" is when game developers give players who walk off the edge of a cliff time before gravity kicks in to prevent rage quitting)