Born in Copenhagen, Sørensen began playing football with local top-flight club Boldklubben 1903 (B 1903) in the amateur-only Danish championship.

[1] Sørensen was a quick and strong player, with great style and an accurate shot, playing in the central midfielder (centre-half) position.

In 1946, Sørensen and fellow Danish international Kaj Hansen were offered 5,000 DKK each to move to rival club Skovshoved IF, in violation of the strict rule of amateurism.

Sørensen and Kaj Hansen signed with Stade Français FC in the top-flight French Division 1 championship, where they played alongside fellow Dane Børge Mathiesen.

After the season, he moved to league rival FC Nancy, to play alongside fellow Dane Helge Bronée.