Eyüp Özsoy was born in Fatsa in 1969. After completing his secondary education at Kepirtepe Teacher Training High School, he graduated from the Department of Public Administration at Istanbul University Faculty of Political Sciences in 1989. He began his career in the insurance industry at Batı Sigorta and later held various managerial positions in technical operations, claims, and recovery departments at Ticaret Sigorta, Emek Sigorta, İsviçre Sigorta, Fiba Sigorta, and Generali Sigorta. Joining Quick Sigorta in 2016, Özsoy has been serving as the General Manager of Quick Sigorta since April 2022.

Starting his sports career with athletics, Özsoy was actively involved in football, handball, and basketball for many years and continued his amateur football career until 2001. He is married and has two sons.