Heat oven to 375°F. Spray cookie sheet with cooking spray. Unroll dough on work surface; separate into 8 triangles. Starting at narrow tip, cut each triangle lengthwise into 3 smaller triangles.
On wide end of each triangle, place 1 jalapeño slice and 1 sausage. Roll up to opposite point. Place, point side down, on cookie sheet.
Bake 12 to 14 minutes or until deep golden brown. Immediately remove from cookie sheet.
Meanwhile, in 1-quart saucepan, heat cheese and green chiles over medium-low heat, stirring occasionally, until cheese is melted and smooth. Serve warm poppers with cheese sauce.