During the 1962–63 season he forged an effective half-back partnership with Colin Appleton and Ian King and was part of the revered "Ice Kings" team which won a series of games over the course of the brutal winter and came within nine points of winning the Football League. City were top of the First Division with five games to go but picked up only one point from these final five games. They also had an excellent run in the FA Cup to reach the 1963 FA Cup Final, and were installed as favourites ahead of Manchester United. However McLintock and his teammates were poor on the day, and United won the match 3–1. Having been on course for the Double in April, Leicester ended May with a fourth-place finish and as runners-up in the cup.