Taremi has scored 11 goals and provided two assists in 19 matches for Olympiacos, numbers that have caught the interest of the English club.
Nottingham Forest, currently in 17th place in the Premier League, is going to strengthen its attack with the forward.
Taremi could be officially signed during the transfer window, the O Jogo reported.
Nottingham Forest looks for a forward capable of boosting the team in the standings and ensuring its stay in the league.
Nottingham Forest currently sits seven points above West Ham, who is in the first relegation spot in 18th place.
The Iranian international played for Rio Ave in the 2019-20 season and later joined Porto and Inter Milan.