Once again Curran stayed less than a year at Southampton, making 26 appearances in the 1978–79 season and playing in the League Cup semi-final victory over Leeds United. It was after that semi-final in January 1979 that Curran was approached by Sheffield Wednesday manager Jack Charlton with the audacious request that Curran should drop down two divisions and sign for Third Division Sheffield Wednesday.
Curran's time at Southampton was limited, leading to 26 appearances during the 1978-79 season, culminating in a League Cup semi-final victory over Leeds United. This triumph prompted Sheffield Wednesday manager Jack Charlton to make an unusual proposal: for Curran to move down two divisions and join them in the Third Division.