Moyes is desperate to bring in another striker at Goodison Park, and the only way to raise funds could be the sale of Pienaar.
"It may come to it in the January transfer window that we have to sell Pienaar to raise money," Moyes told the Daily Mail.
Tottenham, Liverpool and Arsenal have all linked to the South African international midfielder.
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Meanwhile, Blackburn are reportedly planning a £3 million bid for Blackpool midfielder Charlie Adam. (Daily Mirror)
Rovers boss Sam Allardyce has been keeping a beady eye on the Scottish midfielder and is convinced he's the man to add some class to his midfield.