Shorumu was brought into the Nigerian national team by coach Clemens Westerhof in 1992. After a few years he moved to play in Switzerland, and made his mark there. He was bought by Turkish club Beşiktaş J.K. in 1999 for $2,400,000 — but they released him as they thought he spent too much time with the national team. Shorunmu later played for other Swiss and Turkish clubs.
He has recently served as the national team goalkeeper coach and now has been hired in the same capacity for Enyimba F.C.