Hey Capt TJ,
I have had this problem too with my 97. There are lots of threads on this but the most common fix is to change the oil pressure sending unit. Its a cheap part like $25. If that doesn't work it might be smart to verify that you don't really have a problem with oil pressure. Get a pressure test gauge and connect it where the sending unit hooks up( just above the oil filter) see if this pressure matches the gauge indication. The early TJs have a "true" reading pressure gauge, not a dummy gauge as found in newer models. It may be normal to see it fluctuate quite a bit under different engine loads.
Also, the auto parts store didnt have a tester so I bought a cheap sunpro gauge and hooked it up temporarily to check mine. Worked great and will serve as my test set. Good luck with yours,