The 19-year-old has only just broken into the Forest first-team this season, but has done enough already to catch the eye of the Potters and Toffees, who are both said to be preparing bids.
Forest are desperate to keep hold but it has been suggested they may have to cash in as a takeover involving US investors continues to drag on.
The youngster is not tied to a long-term contract either, which puts Forest in a vulnerable situation heading towards the January transfer window.
They were forced to cash in on star winger Oliver Burke in the summer and the same could happen to Worrall, with Stoke waiting to pounce if given any encouragement.
Motherwell held Ladbrokes Premiership leaders Celtic to a goalless draw despite playing for more than half the match with 10 men at Fir Park.
Michy Batshuayi's cheeky backheel was enough to give Borussia Dortmund a 1-0 win over Hannover 96 at Signal Iduna Park on Sunday, lifting them within a point of second-placed Schalke.
Eintracht Frankfurt boss Niko Kovac felt his side could have scored more goals following their 3-0 defeat of Mainz on Saturday.
West Brom manager Alan Pardew refused to fault his players' efforts after a heartbreaking 2-1 loss to Bournemouth that dashed their already slim survival odds.