The Argentinian model wrote a series of messages on Twitter revealing that he has been sleeping with Price.
"How I adore sleeping with the person I love in my arms. @MissKatiePrice," he said. "Now on my way to college to have perfect communication.
"I love to feel the beating og your heart and the warmth of your body against mine two become one and the world is our oyster @MissKatiePrice (sic)."
It was claimed last week that the romance between Price and Penna was "heating up again" after they were photographed together out in London
Last month, it was reported that Penna had proposed to Price "completely out of the blue" on Christmas Day.
Price's first husband Peter Andre recently claimed that the glamour model wanted to get back together with him, a suggestion she quickly denied.
The couple previously separated last August after getting together five months earlier while Price was still married to Alex Reid.
Watch Katie Price and Leandro Penna's greetings from Spain when they were a couple last summer below: