The Spain international angered Benitez with his outspoken criticism last week, claiming the manager does not communicate with players and describing Liverpool as a 'sinking ship'.
He was immediately suspended for several days by the club and it now seems certain Riera, who has a Russian wife, is likely to be farmed out on loan to a Russian club before the close of their transfer window on April 8.
Growing apart: Riera is poised for a loan move to Russia after falling out with Benitez
'We are working with different clubs trying to find a solution atthis moment,' said Benitez. 'We will try to do some business if we canand see what happens.'
Spartak Moscow are the favourites to seal a deal, though they are reluctant to commit to a permanent deal.
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