A back injury and respiratory illness slowed his progress in 1961 and 1962. In 1964, Maye hit .304, scored 96 runs, drove in 74 runs, and led the National League in doubles with 44; meanwhile, his solo album Halfway Out of Love sold over 500,000 copies. A 1965 ankle injury hurt his season and career.
Maye's progress was hindered by a back injury and respiratory condition in 1961 and 1962. In 1964, he had a notable season, hitting .304, scoring 96 runs, driving in 74 runs, and leading the National League with 44 doubles; his album Halfway Out of Love also gained significant commercial success. However, a 1965 ankle injury severely impacted his season and long-term prospects.