Last month the Reds boss, in response to comments from the goalkeeper about needing to return to Merseyside to make a decision, said he believed the 31-year-old had already made up his mind.
"Pepe made it very clear when he went to Napoli he was looking to move as he penned a great big letter saying he was going to work with the best manager that he'd worked with and thanked everyone for his time for Liverpool," said Rodgers.
However, Reina, reunited with his former Liverpool manager Rafael Benitez in Italy, denies he has already confirmed his departure.
"That is what the manager says apparently but I have two years left on my contract," he told BBC Sport.
"Liverpool got another goalkeeper (Simon Mignolet) and they told me they were happy to loan me for a season.
"It was strange but I don't regret it. The only thing about the letter is that I just could say goodbye in a different way and I couldn't do it (in person).
"There are always up and downs in a career and in the last two and a half years at Liverpool there were different methods and perhaps I didn't do as good as I used to with Rafa."
Benitez remains circumspect on Reina's long-term future.
"He reads the game very well and is one of the best goalkeepers in the world," the Spaniard told Sky Italia.
"Will he stay at Napoli? He has a clause and we know it - meanwhile he should continue to do well until the end of the season."