Unlike the papabile cardinals Giacomo Lercaro of Bologna and Giuseppe Siri of Genoa, he was not identified with either the left or right, nor was he seen as a radical reformer. He was viewed as most likely to continue the Second Vatican Council, which already, without any tangible results, had lasted longer than anticipated by John XXIII, who had a vision but "did not have a clear agenda. His rhetoric seems to have had a note of over-optimism, a confidence in progress, which was characteristic of the 1960s." When John XXIII died of stomach cancer on 3 June 1963, it triggered a conclave to elect a new pope.

What role was Montini not perceived to fill unlike some of his fellow cardinals?