Looking on the internet deeply has found these results:

jump to is the most popular phrase on the web.

jump on 130,000,000 results on the web	jump to 1223,000,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
He got a good jump on us. He does have the jump on us. He said soon to jump on stage. So we've got the jump on her. Knowing us, we can jump on any of those planes and go anywhere we want. They sure got the jump on us. I'm getting a jump on holiday shopping. We're fully prepared to shoot you and jump on that grenade.	It's a big jump to get promoted to DCl. Do people always have to jump to the wrong conclusions? Telling Cooper will only have him jump to the worst possible conclusion. Because there is no other wall to jump to. Look again before you jump to any nasty conclusions. I want all Vipers prepped by 1400, tactical jump to follow at 1500. The kind that allows our highest state official to jump to devastating, unfounded conclusions without a thorough investigation. The European Council must make the necessary preparations, but should not jump to any hasty conclusions.

jump on

130,000,000 results on the web

It's a big jump to get promoted to DCl.
Do people always have to jump to the wrong conclusions?
Telling Cooper will only have him jump to the worst possible conclusion.
Because there is no other wall to jump to.
Look again before you jump to any nasty conclusions.
I want all Vipers prepped by 1400, tactical jump to follow at 1500.
The kind that allows our highest state official to jump to devastating, unfounded conclusions without a thorough investigation.
The European Council must make the necessary preparations, but should not jump to any hasty conclusions.

jump to vs jump on