Whirlpool Top Loading Washer WTW57ESVW1 adds water at the end of the spin cycle. I was unable to figure out the answer from your database. Also, the database references a Load Sense Switch but I was unable to find that part on the diagrams. Help appreciated.
Water is added on these models at the beginning of the spin cycle to remove any remaining suds or detergent, so it sounds like your timer is acting up and adding the water at the end, which it should not.
Try replacing the timer, and if you buy from this site and the new timer does not fix things you can return it.