The industrious defender was quick to mention the atmosphere at the Britannia Stadium after the win pushed Tony Pulis' side to a more comfortable mid-table position in front of a season-high attendance of 27,529.
Wilkinson told the club's official website: "They're amazing, aren't they? I know it was a bit tense, but they're always behind us. They're the best fans in the world.
"We needed them behind us, and once we got the goal the pressure was off a bit and it was nice for everybody.
"The performances have been good - we didn't play as well as we could have today, but we got the result. We're buzzing with the result though and hopefully now we can take that confidence forward."
The 28-year-old also praised team-mate Charlie Adam, who scored the decisive goal for the Potters to earn all three points, and says the deliveries put in by the former Liverpool and Blackpool man should create more goals for strikers such as Peter Crouch.
|POTTERS STUN THE HAMMERS|
|14/5||Stoke are 14/5 with bet365 to beat West Ham next weekend|
"He scored goals at Blackpool, but his delivery is great as well - hopefully he can get some assists for 'Crouchy' and a few of the others. He will be a great player for us."