I had the same problem a few years ago and fixed it myself! Under the agitator are some "dog ears" that release and grab every time the agitator rotates. Over time they wear out and so can't grab any longer. On my machine, there is a cap at the very top of the agitator that turns off. Then the whole agitator comes up and out of the machine. It is in the inside column of the agitator that these "dog ears" sit. Take the agitator with you to the supply store you are going to and they should be able to sell you the appropitate part, and may even help you put these rubber "dog ears" in. My machine continues to work like new and it has been at least 4 years ago. The cost was also minimal to buy the part.
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