Bassey is a youth product of the Nigerian academy Eagle's Wing and the Czech club Bohemians 1905.
He began his senior career in the Czech Republic in the third division with Olympia Radotín, scoring 24 goals in 33 games.
He then had a stint with Czech National Football League side Ústí nad Labem in 2019-20, before moving to the first division with České Budějovice.
On 17 January 2022, Bassey moved to the Hungarian side Ferencváros in a record sale from České Budějovice.
[2] In his debut season with Ferencváros he won the Nemzeti Bajnokság I and Magyar Kupa.