Oil pressure running high?

How simple some things can be, if you only look closely. Thanks, it works fine now.

Engine Mechanical problem
1994 Jeep Cherokee 6 cyl All Wheel Drive Automatic

why would oil pressure be high all of the time

I bought the jeep about month ago and has been at 60-80 since then, had other problems to fix so now trying to get this one solved. I will have to try replacing that part, thanks!

1996 Jeep Grand Cherokee V8 5.2 liter, 108,000 miles. The oil pressure is fluctuating on the high end of range, between 35 psi and 60 psi. I am seeing evidence of leaks (oil filter, pan gasket and both valve cover gaskets). Is all of this related? What repairs do I need to make?

The gauge is working OK. I checked it with an external hand held meter. The oil filter is not bulging. The car gets an oil change about every 5 months or 5000 miles (whichever comes first, usually 5 months; don't do much driving here in Kainaliu, Hawaii. Which is part of the problem. There a very few reliable mechanics in this neck of the woods).

1990 Jeep Cherokee, 4.0, Auto, 201,000 miles. Just changed the oil like I normally do using Mobil 10-40 with a quart of Lucas oil stabilizer. Been using this oil and additative for a while now since my rear main seal was leaking; now it is not. I started up the engine after the oil change, and my pressure at idle was around 40 (normal would be between 25 and 30), and when I went for a test drive, the pressure went up to 60 during normal operating speeds (normal is around 40). Even more strange is when I went up a hill, the oil pressure shot up to 80, and I eased off the gas and it came back down. Tried the hill several times with similar results. I dont know if I should try changing the oil again without Lucas, since Lucas has worked just fine for me for a long time. Thanks for your help!

The engine is running like a top. Before I get in to pulling the pan to check the pump, I think I'm going to try running a can of motor-flush through it, then drain and refil with regular 10-40 oil with no additives. If it is still acting up, I'll take it to the shop. Thanks for your help