And Pinnick - a friend of Abraham's dad - says his nation are working on the forward, who netted his first Premier League goal at Crystal Palace before the international break and then scored again for the Young Lions against Latvia.
"We are working on getting Abraham," said Pinnick. "Tammy is like my son. His father and I grew up in the same neighbourhood.
Good win thanks for coming out tonight! pic.twitter.com/kqhp1LdIlR— Tammy abraham (@tammyabraham) September 5, 2017
"So when they talk about him, I just laugh because I know what to do."
Nigeria lead their pool in World Cup qualifying, with Zambia three points behind after four matches.