The France starlet has attracted attention from a number of Europe's biggest clubs and Sir Alex Ferguson has been linked with the frontman.
However, ahead of the sides' Champions League clash on Tuesday night, Aulas has told Ferguson that the closest he will get to signing Benzema is a free bottle of wine from the year of the player's birth.
"As we are people of fair play, we have brought a bottle of red wine chosen from the year Benzema was born," he told The Sun.
"It's from 1987 - a very fine wine.
"Instead of buying Benzema, he will get a bottle of fine Bordeaux."