About 20 candidates are expected to run in the first round, to be held April 21.
Tim Montgomery, who holds the world record of 9.78, ran the fastest time in the first round, 10.04.
If only one candidate ran in the second round, they still had to achieve a majority of the vote.
If neither man withdraws, both may decide to run in the first round of presidential voting next April.
At the 1984 Summer Olympics he ran in the first round for the relay team.
Yegorova was scheduled to run in the first round of tonight's women's 5,000-meter race.
Three days later Aouita ran in the first round of the 1,500, but withdrew from the semifinals.
Seven candidates are running in the first round, but only two are given any chance of winning.
"Then I'm going to run around the ring a lot in the first round and make everyone blink a lot."
She will run in the qualifying round of the 200 meters on Friday.