Hodgkinson signed for Sheffield United from Worksop Town on 1 August 1953, and made 675 first-team appearances (576 in the league) for the Blades between 1953 and 1971, his first being a friendly game against Clyde on 6 April 1954.

Hodgkinson made his league début in Division One in a 2–1 away victory against Newcastle United on 28 August 1954 but, despite showing his undoubted potential, the presence of number one goalkeeper Ted Burgin until 1957 and National Service limited his opportunities for the first team.

Two years after his final cap, he returned to the England squad for the 1962 World Cup in Chile as backup to Ron Springett, but once again was not selected for any of the matches.

[1] Hodgkinson worked at United for seven years before becoming Scotland goalkeeping coach, where he tutored players such as Jim Leighton and Andy Goram.

Turley left Oxford in 2010 but Hodgkinson remained to coach first-team keeper Ryan Clarke and later also Max Crocombe.