Ogbonna has been linked with both Manchester United and rivals Manchester City recently, but the Anfield giants are also rumoured to be interested in the Italian centre-back.
The 24-year-old is reportedly open to a move to the Premier League, but insists he is happy with his current club.
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"It is flattering to be linked with Liverpool, one of the biggest clubs in the world. It's very famous,” Ogbonna told Sky Sports.
"However, my contract with Torino expires in 2016 and I like Torino as a club. But you never know."
Ogbonna has impressed for his Serie A club in recent seasons, earning a call-up to the Italian national side.
But the defender has been forced to withdraw from Cesare Prandelli’s squad after suffering from an inflamed prostate gland.
Prandelli is yet to name a replacement ahead of their matches on Friday against Armenia and on Tuesday against Armenia and on Tuesday against Denmark.