wash cycle works, but rinse cycle goes back to wash cycle

I have a 90 series Kenmore wash machine. It works fine on the wash cycle, but when it switches over to the rinse cycle, it goes right back to the wash cycle. The tub refills, agitates, spins and is finished. It seems to be stuck on the wash cycle. The dial/timer works and moves fine, it just won't bring the water down for a rinse, instead it just refills for like another wash. Thank you for any suggestions or help you might have.