The England international is ready to leave Chelsea this month after failing to feature at all this season.
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A move to West Ham is favoured and Saunders is confident Sterling won't let the Irons down.
He said on talkSPORT: “From a good source, his attitude since he was a kid has always been football, football, football.
“I’ll guarantee you now he wants to play regularly, so they have to come to an agreement on his wages somehow.
“Quite right for me, Sterling would be a good signing.”