When I start my 96 S 320 let it warm up for a couple of minutes and drive off, the car will shift fine to second gear, but will not shift into 3rd gear for some time. Either, the RPMs have to reved pretty high inorder for it to shift to 3rd, or the engine has to be warmed up a lot longer, maybe ~ 8minutes. after a good warm-up it shifts to 3rd ok.

Is this normal or does this sound like I may have transmission problems evolving?