Scoring 37 goals for Nigeria in 58 appearances, Yekini was the national record goalscorer. He was part of the team that participated in the 1994 (where he netted Nigeria's first-ever goal in a World Cup, in a 3–0 win against Bulgaria, his celebration after scoring, crying while holding the goal's net, became one of the iconic images of the tournament) and the 1998FIFA World Cups.
Yekini was reported to be ill for an extended period of time. In 2011, news media in Nigeria begun issuing reports of his failing health, and he was said to suffer from bipolar disorder, depression and some other undisclosed psychiatric condition. He died in Ibadan on 4 May 2012 at the age of only 48, the news being confirmed by former national teammates Mutiu Adepoju and Ike Shorunmu.