Kenmore 90 series top load washer spinning poorly

Greetings,

I have a ~16 year old Kenmore 90 series top load washer that recently started spinning poorly. It spins mostly OK, but seems to slip periodically. I have watched several YouTube videos and I'm thinking it may be a weak, but not yet totally grip-less clutch. I haven't found any videos that seem to match the behavior perfectly.

This is a quick video that hopefully will give you an idea of what it is doing: Kenmore washer noisy spin - YouTube

Any expert advice about my guess as well as any suggestions on parts to order to replace (or not) while I have the machine apart would be greatly appreciated.

Thanks in advance :)