Does drinking an increased average daily water intake carry sodium out of the body and potentially increase ones need for sodium?. For example if someone drank a gallon or so a day and fallowed a low less than 1500mg of sodium diet would the excess water carry sodium out of the body and thus put the person at risk for sodium deficiency or does increased water not flush sodium from the body?

I know acute over consumption of water can dilute blood sodium and cause hyponatremia but I'm talking long term and not dilute blood levels just low body levels in general.

Thanks.