She is listed in fourth place for the most doubles match wins (766) in WTA history, after Lisa Raymond, Rennae Stubbs and Liezel Huber.

Doubles team of Savchenko and Svetlana Parkhomenko reached the Wimbledon quarterfinals in 1983 and 1984, both times as an unseeded pair; beat No.

Having 1986 wins over Wendy Turnbull (twice), Ann Henricksson, and Annabel Croft, Savchenko was ranked No.

She defeated Kathy Rinaldi, Peanut Louie Harper, and Nathalie Tauziat to reach the quarterfinals of Eastbourne in 1986.

She also had wins over Robin White, Ann Henricksson, Candy Reynolds, and Melissa Gurney.

They lost 10–12 in the final set to Gabriela Sabatini and Steffi Graf, who in that same year won all four Grand Slam singles titles and an Olympic gold medal.

In 1989, again with Zvereva, Savchenko won her first doubles major final, over Graf and Sabatini in straight sets.

She was subsequently stripped of the $15k she had earned for reaching the women's doubles quarterfinals with Arantxa Sanchez Vicario, and issued a warning by the International Tennis Federation.