The midfielder helped Wigan secure a shock 2-1 win at Liverpool last week.
And Watson said: "Stoke is a great opportunity to get back-to-back wins. If we can do it, then we can go into playing the big three under no pressure and enjoy it.
"If we don't, then the Liverpool victory means nothing. You know what you're going to get with Stoke. They're a hard-working, honest team.
"But we have the quality to beat them."