The Spain international, who has two years left on his contract with the Reds, spent last season on loan at Napoli.
Reina said last week he was open to the possibility of playing for Napoli again, but the Italians already have three shot-stoppers on their books for next season.
“We don’t seek a goalkeeper,” Benitez said on his official website, www.rafabenitez.com.
“Rafael, with whom I keep in touch often to monitor his progress first hand, (Mariano) Andujar and (Roberto) Colombo are a sufficient guarantee for our goal.”
Rafael is expected to start for Napoli next season.
The Brazilian sustained a serious right knee injury in February but will be fit for the start of the 2014-15 season.
Argentinian goalkeeper Andujar has returned to Napoli this month after spending last season on loan at Catania, while v eteran goalkeeper Colombo is also available to Benitez.