Lindor, 26, is under team control for two more seasons. Multiple teams including the Dodgers and the Reds have expressed interest in the four-time All-Star.
Rosenthal says the Indians want to assess the final offers for Lindor over the weekend before making a final decision on his future.
Lindor has batted .279 (.855 OPS) and is averaging 34 home runs, 85 RBI and 21 stolen bases over the last three seasons.
If the Reds were to make the Indians a competitive offer, Nick Senzel, Hunter Greene, Amir Garrett and Freddy Galvis could be included in a potential deal. Infielder Jonathan India is another prospect that could interest the Tribe.