In 2001, Bessonova was the youngest in the Ukrainian team during the 1999 World Championship in Osaka, Japan, yet she made such a good impression that the RG specialists wrote her name immediately as a future top gymnast. In the 2001 World Championships, Alina Kabaeva and her teammate Irina Tchachina who originally won gold and silver medal in all-around respectively tested positive to a banned diuretic (furosemide) and were stripped of their medals. Ukraine's Tamara Yerofeeva who originally won bronze was awarded the gold with Bulgaria's Simona Peycheva from 4th to taking the silver and Bessonova from 5th was awarded the bronze medal.