 Storton was one of a number of players signed by Liverpool manager Bill Shankly in the late 60s and early 70s, in an attempt to rebuild the team, but he struggled to gain a regular place in the first-team.He played ten games in his first-season, and was a regular fixture in the squad for the UEFA Cup campaign, which he ended with a winner's medal.The following season, he only made two appearances, and he was sold to Chester in 1974.