Running a Russian indoor record of 51.03 seconds, Alekseyeva was the 400 m silver medalist at the 1993 IAAF World Indoor Championships. She also won a gold in the 4 × 400 metres relay, alongside Marina Shmonina, Yelena Andreyeva, and Yelena Ruzina, but the team was stripped of the titles due to doping by Shmonina. At the 1993 World Championships in Athletics she narrowly missed out on an individual medal, taking fourth behind Jamaica's Sandie Richards, but left the competition with a silver medal through the Russian record-breaking relay team including Ruzina, Margarita Ponomaryova and Irina Privalova, which was runner-up to the United States with 3:18.38 minutes.