On 20 July 2020, Sørensen signed a three-year contract with Norwich City. He made his debut against Brentford as a late replacement for Xavi Quintillà at left back, a position he had never played at before. Sørensen scored his first goal for Norwich in a 2–1 win against Nottingham Forest on 9 December. On 15 July 2021, after Norwich's Championship title winning season in which he made 32 league appearances, Sørensen signed a new contract until June 2024. On 28April 2025, Norwich announced that Sørensen would be released when his contract expired at the end of the 202425 season.