New to the forum and new to Jeeps. I have a 2000 WJ 4.7 Quadradrive with 105k miles that I bought a few weeks ago, so far I love it!
Anyway, I have noticed the transmission slips only when I drive around long right bends - the exits coming off the autobahn (I live in Germany). My speed is around 40mph / 2-3k rpm and when I accelerate during the bend the revs don't react (or they drop and I lose drive), after 2 seconds the transmission 'clunks' into gear and all is normal again as I exit onto a straight road.
Left bends, left/right in city traffic or straight line and it shifts perfectly.
I checked the transmission fluid when warm in neutral and park and the level is right in the middle between hot and cold. The fluid looks fresh (cherry red) and doesn't smell burnt or anything.
This could very well be a case of low fluid. When you turn to the right all the fluid in the pan is pushed to the left side. If there is not enough fluid in the pan to feed the pick up you will get slipping. Check your fluid as directed by the dipstick/owners manual..
More than likely thats what is in there. Have you ever changed fluid/filter? Could be a malfunction with the filter as others have suggested. If fluid level does help I would pull the pan to have a look.
Just had the same issue with mine, which I figured was due to low fluid. Sure enough upon inspection I found I was down about a quart of transmission fluid. Topped it off so that the fluid comes to the top hash mark on the dipstick when hot and in park and all is well. My tranny has 242,000 miles on it!
Something to consider, maybe add a little fluid and see if it improves.