The 21-year-old attacking midfielder, who switched to Rugby Park earlier in the month after failing to make the breakthrough at Celtic, was named in the initial 31-man Nigerian squad for the African Nations Cup but did not make the final cut.
Ibrahim has represented his country at under-17, under-20 and under-23 level and is looking to make the transition to the senior side as a Killie player, after signing a two-year contract early in the month.
"I am not disappointed at being left out," he said. "It was my first squad, I went there and did very well and they are happy with me.
"They said that I should go back and work hard to be playing week in and week out and I will be called up for the World Cup qualifiers.
"So my international career depends on Kilmarnock.
"If I do very well and consistently, they will be watching and I will definitely get my chance in the national team."
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