Is it possible, that you played the game on a laptop, because when i played it on my laptop I had the same problem. On pc it worked for me.
I played on PC, but in wine on Linux - and my PC is quite the old lil' potato, the graphics card especially is many years behind the standard by now.
If something about the jump logic is framerate dependent, that might be what's causing it - but I at least had no visible stutter while playing. Screen resolution could also be a cause, if it happened on laptop, I guess?
Hope this will help squashing that bug :)