At the 1984 Olympic Games in Los Angeles, Oakes reunited with two of her Moscow teammates, Kathy Cook (Smallwood)) and Beverley Callender (Goddard) to win another bronze medal in the 4 × 100 m relay, they were joined by Simmone Jacobs. In the 100 m final, she finished seventh in 11.43. She had a fine indoor season in 1985, winning medals at both the World Indoor Games and the European Indoor Championships. At the World Indoors in January in Paris, she won a silver medal in 7.21 secs, just one-one hundredth of a second behind the winner Silke Gladisch. Then at the Europeans in March, she won the bronze medal behind Nelli Cooman and Marlies Gohr, but ahead of Gladisch.