I have a 1995 Jeep Cherokee that had a similar problem. It would start fine, however about 10 min later the engine would just die. After a few seconds I could restart it and it would be fine for the remainder of the drive. Took the shop a while to find the problem as it would only happen 10 min after you started it. Turns out it was the crankshaft sensor. Was replaced and end of problem.

You may want to change the fuel filter while you are at it, very easy replacement on the 1990 - most likely still the original.