The Frenchman feels that it would benefit the club, players and coach if the Portuguese stayed put, and hopes to be paired with Paris Saint-Germain in the Champions League.
A number of recent reports have suggested that the Portuguese coach could say farewell to the Blancos at the end of the season, but Benzema hopes that the ex-Chelsea boss will stay put.
"Mourinho has given me a lot ever since he arrived at the club. Personally, I want him to stay at Madrid. That would be the best for everybody involved," Benzema told reporters.
The France international then went on to discuss Madrid's possible opponents in the Champions League round of 16, and made it clear that he would like to take on Paris Saint-Germain.
"Every team that is left in the competition will be a tough opponent and if we want to do anything in the competition then we have to beat whoever we draw," Benzema added. "But I would like PSG because they are a French team."
The draw for the first knockout stage takes place in Nyon on Dec. 20.
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