As if mid-February, which brings a two-legged Europa League meeting with Valencia, was not busy enough, Stoke City will now have to ink an FA Cup fifth round tie in to the diary. Goals from Cameron Jerome and Robert Huth ensured Stoke's progress here as their manager Tony Pulis opted to field a strong side despite Tuesday's trip to Old Trafford.

"We've played 14 cup ties so far this season, and we're guaranteed another three," Pulis said. "That's great testament to the players." With Cameron Jerome, Peter Crouch and Jonathan Walters all starting and Matthew Etherington defying a groin injury to play on the left of midfield, Stoke quickly took the lead at Pride Park. Etherington rolled a short corner to Glenn Whelan, whose cross was flicked on for Jerome to volley his fourth goal in five games in to the roof of the net.

The Derby manager Nigel Clough said that Huth had been allowed to provide the touch from an offside position by the referee. "You're hoping for better than that," he said. So was the crowd, furious at how rarely Mark Clattenburg was tempted to blow his whistle in Derby's favour. For Clough, however, the early goal was most important. "It doesn't let you get a foothold in the game."

He can be pleased, though, with much of the rest of the first half. Stoke retained their customary threat from set pieces – a Huth header was kept out only by a post after half an hour – but Derby played well. Craig Bryson, in particular, began to cause problems, and Ryan Shawcross was booked for a trip that denied the midfielder a free run at goal. In the 27th minute it was all Stoke could do to fling limbs in the way as Derby prowled around the edge of the area. Paul Green's effort was blocked by Dean Whitehead before Jeff Hendrick shot wide.

Derby started the second half as they had left off, but Asmir Begovic had only to swat away a Green free-kick before the momentum shifted. Once Jermaine Pennant and Kenwyne Jones were thrown in to the mix, it was Frank Fielding, in goal at the other end, who was the busier.

In the 71st minute he dived to push a Pennant free-kick around his post, but the winger was instrumental in Stoke's second 10 minutes later, his flicked pass helping to win the corner that he sent towards Huth. The defender, scorer of Stoke's third against Gillingham in the last round, lost Paul Green to stab the ball through the penalty area and beneath Fielding. "I want to be at the Britannia in the next round," said Pulis. "We'll take who comes."