Nuno is currently in charge of Forest, and will lead the team in their upcoming match against Crystal Palace.
However, it is reported that Nuno's departure is expected to happen soon, following a disagreement with Forest's owner, Evangelos Marinakis, and technical director, Edu.
As a result, Rodgers, who still has a year left on his contract with Celtic, is seen as a top candidate to take over at Forest.
Former Tottenham and Celtic manager Ange Postecoglou is also in the running for the position.