Odegbami was brought up in the northern city of Jos, Plateau State along with many other members of his extended family.
Nicknamed Mathematical, he was famous for his skill on the ball, speed and precision of his crosses from the right wing.
The nickname "Mathematical" was first applied to Odegbami by Ernest Okonkwo, famed Nigerian football commentator, who worked with Radio Nigeria.
He played a game for charity with Zebrudaya and donated his winnings to The Little Saints’ Orphanage on the Strong Tower Mission.
His older brother Dele Odegbami played football in the old Western Region for his school (Ebenezer Grammar School, Abeokuta), the West Academicals, his university, UNN Nsukka, and briefly for Stationery Stores football club of Lagos.