James Beattie proves his worth for Stoke City against Bolton
Matt Taylor sent his effort into Sorensen's body, before Stoke came close to adding a second.
Ryan Shawcross headed narrowly over the top in the 29th minute following an inswinging free-kick from Liam Lawrence.
Stoke were playing with confidence after that early goal from Beattie. Whelan and Liam Lawrence were both busy and creative, and Bolton were kept on their toes.
Bolton were having trouble defending set-pieces, and Abdoulaye Faye got clear of his marker in the 42nd minute but headed over the top following a free-kick from Lawrence.
However, the visitors almost equalised a minute before the break after a sweet free-kick from Taylor.
He struck his 25-yard effort perfectly from an acute angle, only for Sorensen to turn it around the post.
Stoke had lost a bit of impetus, and manager Tony Pulis reacted by bringing on Fuller in the 58th minute for the ineffective Mamady Sidibe.
Delap was still causing mischief with his long throws, even though the towel had been abandoned, and launched one a minute later that finished on the roof of the net.
Fuller then played a neat one-two with Andy Wilkinson, but his well-struck shot was deflected to safety.
Sorensen then had to look alert two minutes later to to turn away a free-kick from Mark Davies at the back post.
Stoke extended their lead, with Whelan again having a hand in the goal. He rattled in a shot that Jaaskelainen could only parry, and Fuller was on hand to take advantage from close range.
It was the Jamaican's seventh goal of the season and put Stoke firmly in the driving seat.
Ibrahima Sonko almost added a third after stepping of the bench, his header coming back off the bar in the 79th minute before Sorensen blocked Elmander's effort in stoppage time.
