Marchisio claimed that Los Blancos were looking to sell Benzema or Gonzalo Higuain at the time after a slow start to life in Spain.
The Italian claims former manager Ciro Ferrara was looking to sign the French striker during his short stint, but he ending up staying in the Spanish capital.
"It's true, Benzema was close to Juventus, the year Ciro Ferrara was the coach," Marchisio said in an interview with Cronache di Spogliatoio.
"He hadn't done well at Real Madrid and the Merengues had to choose whether to sell him or Gonzalo Higuain. They ended up both staying and a few years later Higuain went to Napoli.
"Karim was really close to joining us at Juve that year, but unfortunately it didn't happen. There was definitely a possibility, though."