1992 Lumina 3.1 possible transmission slip?

Hello everyone,
I have a 1992 Lumina euro 3.1 and I am having kind of an odd problem. After initial start up and driving when I come to a stop and then try to accelerate the car waits about 3-4 seconds or until I reach around 3000 rpm before jolting roughly into acceleration. What would cause that? I should add that there is no noticeable trouble or hesitation shifting when driving only when accelerating from a stop.

Condition of transmission fluid and level?

24 year old transmission.......seals could be starting to go......

Could be low on fluid as Tech II is implying, it could also be the start of a failing torque converter.

Thanks you guys for the reply. Fluid levels and color are good. I was leaning towards the torque converter going myself. Not sure on the condition of the filter though anyway that a bad tranny filter would produce these symptoms?

Thanks you guys for the reply. Fluid levels and color are good. I was leaning towards the torque converter going myself. Not sure on the condition of the filter though anyway that a bad tranny filter would produce these symptoms?
There's a number of things that can produce those symptoms.

Consider checking the trans fluid pressure at idle. That or change fluid 'n' filter, especially if it hasn't been done for ~50K miles or more.

You could have failing seals, you could have a failing trans pump, you could have a sticking pressure regulator valve. You could have some combination of problems.

I admit I don't understand how a torque converter could cause those symptoms, though.