This assumption is not confirmed by the results of the 1962 works team, which won the Monaco Grand Prix and took third place in the constructors' championship.

At the Monaco Grand Prix, McLaren qualified third on the grid and led the field for six laps before being overtaken by the BRM of Graham Hill.

After a double retirement in Belgium, Maggs drove his T60 to second place at the French Grand Prix while McLaren finished fourth.

The South African Grand Prix was the last works outing of the T60, which was sold to private teams after the season ended, with Cooper introducing the T66 as its replacement.

In Monza in 1964 the Swiss Jean-Claude Rudaz was able to qualify a private T60 for the race; however, he was unable to participate after an engine failure on Sunday morning.

In 1965, Bob Gerard Racing entered the car for John Rhodes; he retired with ignition failure on the 38th lap.