The Spain international joined Napoli on loan in July after the Reds signed Simon Mignolet from Sunderland but has two years remaining on his contract and is due back on Merseyside at the end of the season.
Rodgers, however, does not believe the 31-year-old wants to return, citing an 1105-word open letter that Reina posted on his website on July 29 last year, shortly after his reunion with former boss Rafael Benitez in Italy was agreed.
"He's already written his letter," Rodgers told several national newspapers.
"He wrote a goodbye letter didn't he? I was surprised a loan player wrote a letter.
"I would suspect that he should come back but obviously Pepe made it very clear when he went to Napoli that he was looking to move.
"He penned a great big letter saying he was going to work with the best manager that he'd worked with and thanked us for his time for Liverpool.
"So for me it probably sounded like he'd made his decision there."