Alekseyeva was a double gold medallist for the Soviet Union at the 1985 Summer Universiade, taking both individual and relay 400 m titles. She competed at the 1985 IAAF World Cup that year and shared in a relay silver medal with Irina Nazarova, Mariya Pinigina and Olha Bryzhina. She was chosen as the heats runner for the 4 × 400 metres relay at the 1991 World Championships in Athletics and helped the Soviet team to the final, where they took a silver medal.