Younis is the second Iraq international that is believed to have caught the eye of Sunderland after midfielder Nashat Akram earlier admitted his agent is in discussions with the Black Cats.
Younis is regarded as one of Iraq's best strikers after scoring 24 goals in 35 games for the national team.
But the 24-year-old, who also revealed he has been approached by French clubs Marseille and Lille, insists he is not yet ready to leave behind his family.
"I spoke to Sunderland two months ago," said Younis.
"They asked me but I have a problem and because of my family I will not go.
"Marseille and Lille also spoke with me but my family are in Iraq. I want to take them out but my father likes it there and won't go. Maybe next year I will move."