In 2013, Rakhimov won a gold medal at the Tajikistan National Championships in Dushanbe in June,[1] and went on to compete at the 2013 World Boxing Championships in Almaty, Kazakhstan in October where he defeated Adilson Justino of Angola and Branimir Stankovic of Serbia but lost to Ermek Sakenov of Kyrgyzstan in the third round.

He won the WBO Inter-Continental Youth super featherweight title in 2016, and by mid 2017 had amassed a record of 10 wins with all but two by stoppage.

On 20 June 2017, it was announced that Rakhimov would face off against David Saucedo on 9 September in Chelyabinsk, Russia for the vacant IBO world title,[6] last held by Malcolm Klassen who was stripped in May due to inactivity.

[7] However, on 18 August, RCC Boxing announced that Saucedo had pulled out of the fight notifying the promoter that he would be unable to make the weight.

[8] On 9 September, Rakhimov defeated Emanuel Lopez by unanimous decision to win the IBO super featherweight title.