Ivliev began his career in 2003 with FC Hazovyk-KhGV Kharkiv in the Ukrainian Second League. After two seasons in Kharkiv he was transferred to FC Dnipro Cherkasy and won the league title and a promotion to the Ukrainian First League in 2005/2006 season. He played in the first league with FC Borysfen Boryspil, but returned to his original club midway through the season as Borysfen went bankrupt. At the conclusion of the season he signed with FC Arsenal Kharkiv and secured a promotion for the club in 2007. Despite his contribution in achieving a promotion to the first league he remained in the second league with several clubs as FC Arsenal-Kyivshchyna Bila Tserkva, and FC Poltava.
In 2009, he went abroad to Poland to sign with Hetman Zolkiewka of the IV liga, and also played with Partyzant Targowiska. In 2011, he returned to Ukraine to play with FC UkrAhroKom Holovkivka, and received another stint in the first league with FC Tytan Armyansk. After a brief stint in the first league he returned to the second league to play with MFC Kremin Kremenchuk, and PFC Shakhtar Sverdlovsk. He went once more across the border to Poland in 2014 to play in the IV liga and III liga with Hetman Zolkiewka and Tomasovia Tomaszów Lubelski.
In 2016, he went overseas to Canada to sign with FC Ukraine United of the Canadian Soccer League. He recorded his first goal for the organization on June 12, 2016 in a 3-2 victory over Hamilton City SC. In his debut season he secured a postseason berth for the club by finishing second in the standings. In the first round of the playoffs he contributed a goal in a 3-0 victory over Brantford Galaxy. Following their victory they were eliminated from the playoffs after a 1-0 loss to the Serbian White Eagles. He was awarded the CSL Golden Boot for finishing as the league’s top goalscorer with 15 goals.
After the expiration of his contract with FC Ukraine United he signed a contract with Canadian Soccer League expansion team – FC Vorkuta. He finished the first season as the club’s top goalscorer with 13 goals, and secured the regular season title.
In the season of 2018 added another 12 goals (the most in the team) to help his team to win Canadian Soccer League champions title.