The striker wants his France international team-mate to leave Juventus for the Santiago Bernabeu this summer, amidst rumours the midfielder could be sold
The Blancos have been linked with a mega-money move for the 21-year-old France international for months now, with Paris Saint-Germain and Chelsea also fellow admirers of the former Manchester United youth prospect.
Benzema, who will line up alongside Pogba at the World Cup this summer, would love his international team-mate to come to the Santiago Bernabeu should he decide to leave Turin in the upcoming transfer window.
"He’s a young player playing at a big European club. He gets better with each game and he’s at a high level and will continue to work hard," the Madrid striker told reporters.
"I would love him to leave for Madrid, because he’s French and can become a great player."
Benzema says his recovery from a minor muscle injury is going positively and dismissed concerns he is an injury doubt for the World Cup as Didier Deschamps' men prepare for a friendly against Paraguay.
"My adductor is healing, it's much better, there's nothing to worry about," the forward added.
"I started to run again and I work with the physios, it's evolving in the right way. Now I have to keep working but don't be worried, it's much better than when I played in the Champions League final against Atletico Madrid."
Benzema and Pogba are expected to be prominent players in France's attempt to win the World Cup, starting with group stage games against Switzerland, Ecuador and Honduras.