You might first check the water lines on the back of the machine and make sure that there's cold water coming out of the cold line. Also, the hoses to wear out and get buildup, so you might want to check those out as well.
There is something called a pressure valve that tells the machine when to let water in-usually when those go bad it does it for all cycles, not just rinse, but that might be another place worth checking. The only way to know that is the problem is to order one and switch it out to see if it fixes the problem.
Hope that helps, good luck!