Potters chairman Peter Coates is reportedly ready to offer the defender a new six-year deal as reward for his impressive performances since helping seal promotion to the Premier League.
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“If a top-three or four club came in and they paid the money, there’s no way in a million years we’d be able to prevent Ryan from going,” Pulis told reporters.
“It’s a natural progression for players to play at the top level.
“If a top-four club came along and the money and everything was right for both the club and the player, then it would be very difficult to stop the player from going.
"Ryan is a fantastic man but he has to do the best he possibly can for himself and his family.”
Shawcross was named in the England squad on Thursday ahead of next week's friendly clash with Sweden.