[5] Bibossinov won his third national medal of the year on 20 July 2019, as he beat Makhmud Sabyrkhan by split decision in the finals of the President's Cup.

[8] Bibossinov participated in the 2019 World Championships, held in Yekaterinburg, Russia, and faced Enkhmandakh Kharkhuu in the opening round of the tournament.

[9] Bibossinov advanced to the round of 16, where he faced the 2016 Summer Olympics light flyweight silver medalist Yuberjen Martínez.

[12] Bibossinov competed as a flyweight in the 2021 World Boxing Championships as well,[13] and was booked to face the 2016 Olympic Games gold medal winner Hasanboy Dusmatov in the opening round of the tournament.

[16] Bibossinov earned his place in the finals with a majority decision victory against Thanarat Saengphet in the penultimate bout of the championship.

[17] Bibossinov won his career-first world championships gold medal after beating Roscoe Hill by unanimous decision in the tournament finals.

[22] Bibossinov faced the 2019 Pan American Games bronze medalist Yankiel Rivera in the opening round of the 2020 Summer Olympics.