The England international has rejected what manager Brendan Rodgers described as an "incredible offer" - believed to be 100,000-a-week - as the club look to tie down one of their prize assets.
Sterling still has more than two years to run on his current 35,000-a-week deal but talks have been put on hold until the summer.
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Raheem Sterling has more than two years remaining on his current Liverpool deal
However, the winger insists he would have put pen to paper on a new deal last year for less than what's on the table now.
"If, at that point in time, I was offered a contract, I most definitely would have signed straight away, probably for far less money than being said now," he said. "I just think the timing was a bit off."
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