Spurs finished sixth in 1964–65, though Greaves scored 29 goals in 41 league games to finish as the division's joint top scorer (with Andy McEvoy). He also scored two hat-tricks in the FA Cup – against Torquay United and Ipswich Town  – to take his total tally to 35 goals in 45 appearances. He missed three months at the start of the 1965–66 season after being diagnosed with hepatitis, but recovered to end the campaign with 16 goals in 31 matches, remaining the club's top scorer as they finished the league campaign in eighth place whilst failing to make it past the Fifth Round of the FA Cup.