Reina has excelled since joining from Villarreal in 2005, although he has had a dip in form of late.
It has led to suggestions that Kop boss Brendan Rodgers may look to find a replacement.
Swansea's Michel Vorm is said to be a target.
But Reina's agent, Manuel Garcia Quilon said: "He is not having an easy time. The team has not started the season well and liability is falling on him.
"But this will end when he returns to form. He has four years to run on his contract and rumours of leaving Liverpool are just that - rumours."