I will take your word for it that it looks unnatural if the ball bounces on each square. Maybe it would not look so bad if the ball moved a little faster and appeared to be a little smaller?
Alternatively the animation could very briefly come to rest on the floor of the jump launch pad, then a new animation showing the ball launched higher, appearing to get even bigger as it crossed the gap. The animation could include an initial slight shrinking of the ball as if compressed prior to launch. It would act as if the ball had dropped into the barrel of a cannon that then fired it across the gap. An explosive sound effect could go with it.
Another alternative would be the ball bounces once on the spot on the jump launch pad like it does on the final square, but appearing to bounce higher than normal before bouncing even higher across the gap, the bigger the gap, the higher it has to bounce.
The downside to both these ideas is that would interrupt the smooth flowing movement of the bouncing ball.