Stoke manager Tony Pulis has confirmed talks are at an advances stage and hopes a new deal will be agreed withing the next few days.
Shawcross has been linked with a return to Manchester United in recent weeks.
“I have had long discussions with Ryan over his future and I am delighted that he sees his future here,” Pulis told the club’s website.
“There has been a lot of speculation surrounding Ryan, but we have made it quite clear that he is going nowhere and we are delighted to be in a position now where we can secure his future.
“He is an exceptionally talented young lad who had an important part to play at this football club, so I am confident that he will be a major influence upon what we are aiming to achieve.”