In March 2014, Klimenko announced his intentions to enter the 2014 NBA draft.[1] In May 2014, Avtodor added a buy-out clause to his contract, and he later travelled to the United States to attend various NBA workouts.[2] On June 26, 2014, he went undrafted in the 2014 draft.
Early December 2016, Klimenko signed a contract with the Russian team UNICS Kazan until the end of the 2016-2017 season.[4] On July 10, 2018, Klimenko signed a three-year contract with UNICS.[5]