A replacement has not been named, but an announcement will be made before the season resumes on Friday after the upcoming All-Star break.
Hampton was hired by Dipoto prior to the 2016 season when the club formed a coaching staff for new manager Scott Servais. This was his first big league coaching position. He worked as a pitching coach with Double-A Arkansas in 2013-14.
Hampton, 44, was a 16-year Major League veteran and two-time All-Star who pitched for the Mariners, Astros, Mets, Rockies, Braves and D-backs from 1993-2010. He was drafted by Seattle in 1990 and spent his first year in the Majors with the Mariners in 1993.