Abraham, who is currently on loan at Swansea, has been a regular for England Under-21 side over the past year but is eligible to declare for Nigeria through his father.
Tammy Abraham can still switch allegiances because he has yet to play for the senior side.
“We are working on getting Abraham,” said Nigeria Football Federation (NFF) president Amaju Pinnick.
Pinnick is hoping his relationship with Abraham’s father can help his bid.
“Tammy is like my son. His father and I grew up in the same neighbourhood,” he said.
“So when they talk about him, I just laugh because I know what to do.”
Abraham, 19, is spending the season on loan with Swansea
Nigeria have previous form in successfully snapping up former England youth internationals, with Victor Moses, Alex Iwobi, Sone Aluko, Shola Ameobi and Ola Aina having all transferred.
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