He held the WBA (Regular) and IBO super-lightweight titles from 2012 to 2014, and as an amateur won a bronze medal in the lightweight division at the 2005 World Championships.

Allakhverdiev won bronze at the 2005 World Amateur Boxing Championships in the lightweight division, losing to eventual winner Yordenis Ugás.

The following year he defeated then-unbeaten Joan Guzmán on a technical decision to win the vacant WBA super lightweight regular title.

Allakhverdiev was supposed to make a defense with Breidis Prescott but he got injured and pulled out so Terence Crawford replaced him.

In 2014, Allakhverdiev suffered his first professional loss in a closely contested bout against Jessie Vargas, which went the full twelve-round distance.