Interesting swaying at highway speeds...driveline issues?

[Thrall]

Driving along at 60mph, whenever I give slight throttle input the rear of the car feels like it is shifting to the left, then right. Same thing happens when I let off the throttle. This only happens, or I can only feel it, at highway speeds. I'm thinking the driveshaft or rear end. Any one have insight to remedy this occurence?

 

[Thrall]

I should also note that this is a 98 sr5 auto.

 

[004Gunner]

I would suspect the rear suspension before anything driveline related. I would check brakes after suspension

 

[02SE]

I'd check the axle locating links for worn, missing bushings, and/or loose bolts.