Bryzhina successfully defeated Flo-Jo at the 1988 Seoul Olympics in the 4x400m relay. Both runners ran the final leg of the relay and took the baton at about the same time. Flo-Jo ran a well paced race chasing Bryzhina closely, and then Flo-Jo tried to challenge Bryzhina at the 300m point. However, the challenge from Flo-Jo was unsuccessful and Bryzhina won by a 4m margin taking gold for Soviet Union along with a new world record for the USSR team. Bryzhina's time of 47.7 seconds in the 1988 Olympic Relay is one of the fastest relay legs ever run by a Women in the history of track and field.
Bryzhina's husband Viktor Bryzhin was also a champion track athlete winning gold in the 4x100m relay event at the 1988 Olympics. Together they have a daughter Yelizaveta Bryzhina who is also a successful track runner specialising in the 200m sprint event (Yelizaveta competes for Ukraine).
Bryzhina and her daughter Yelizaveta both have a best performance of 22.44 seconds over 200m as at Dec 2012.