What I am wondering is should I walk a bit every few days on this jellylike spot to compact it, or could this make the problem worse?
That's a typical "jelly hole", and walking on it doesn't help much.
Jelly holes are caused by light, dry soil floating atop wet, heavy mud. The dry soil acts as a moisture barrier, preventing the mud from drying out. I know it sounds counterintuitive, but the cure is to soak the dry upper soil with water so it weighs the same as the underlying mud. Once all the soil has the same moisture content, it will quickly settle and pack nicely. If you can wait it out, time and winter rains will do the job for you.
Most jelly holes are easy to prevent. All you have to do is avoid burying heavy mud under dry, light soil. Sometimes that's hard to avoid, because a pond fills from the bottom up, soaking the soil at the base of the dam before the top layers have time to get soaked.
