Aldrich won the first of nine career doubles titles in 1988 at Charleston, South Carolina. In 1990, Aldrich won the men's doubles titles at both the Australian Open and the US Open, partnering his fellow South African player
Danie Visser. The pair were also doubles runners-up at
Wimbledon that year. 1990 also saw Aldrich win his first (and only) top-level singles title at Newport, Rhode Island. His career-high ranking in singles was world No. 64, which he achieved in 1988. Aldrich won the final doubles title of his career in 1992 in Johannesburg. ==Grand Slam finals==