 After coming up through the ranks with his native Gomel and later HC Dinamo Minsk Korobov was signed to a two-year entry-level deal with the Tampa Bay Lightning on 2 August 2012.In the final year of his contract with the Lightning, Korobov was recalled from American Hockey League affiliate, the Syracuse Crunch, and made his NHL debut, featuring in 3 games in the 2013–14 season.On 1 July 2014, Korobov opted to return to the KHL as a free agent, signing a two-year contract with Atlant Moscow Oblast.