Sutcliffe won 31 games over the course of the next two seasons for Cleveland and led the American League in earned run average in . In mid-, Cleveland traded a struggling Sutcliffe to the Chicago Cubs for Mel Hall and Joe Carter. Sutcliffe rebounded and won 16 games for the Cubs while losing only one, helping them to the division championship. On October 2, 1984, he started the first game of the NLCS against the San Diego Padres, giving up two hits and no runs, not only gaining the victory, but also hitting a home run in the third inning. Five days later, Sutcliffe pitched the final game of the series at Jack Murphy Stadium, but posted the loss after giving up four runs in the seventh inning.