The 31-year-old, who featured 30 times in Serie A during the last campaign, has been linked with a move to a host of European sides but his agent confirmed he is set to remain at Anfield.
Reina fell out of favour with Rodgers last summer and Simon Mignolet was brought in from Sunderland to become Liverpool's first-choice keeper, as the Spain international was shipped out to Napoli.
It remains to be seen if Reina features in Rodgers' thinking for the new Premier League campaign, but agent Manuel Garcia Quillon is due to meet the Liverpool boss to find out.
"Without a team? I have one - Liverpool. I have a deal for another two years, even if I've not yet spoken with the coach to see what his plans are," he told El Mundo Deportivo.
"Now I'm set to end my holidays and my agent is charged to do these things."
Reina has also been linked with a switch to Barcelona but that now appears to be unlikely following their capture of Chile goalkeeper Claudio Bravo, who will compete with fellow new arrival Marc-Andre ter Stegen for the number one shirt at the Nou Camp.
However, Reina admitted that the Spanish giants did show an interest in him before he made the move to Napoli.
"I have not thought about this a lot this season. Last summer - it's true - there have been contacts, but during the last season I kept my concentration on Napoli," he said.