Increase speed to high, and continue beating until well-combined.
Carefully unroll cake.
Spread cream cheese mixture over cake, leaving about a 1/2-inch border around the edge.
Reroll cake, seam side down.
Wrap in plastic wrap, and refrigerate for at least one hour. The cake can be stored in the fridge for 2-3 days or frozen for up to 1 month at this point.
Sprinkle with powdered sugar just before serving, if desired.
Powdered sugar
Video
Notes
Pumpkin pie spice - If you don't have any pumpkin pie spice, you can make your own homemade blend with this recipe.
Pumpkin puree - Be sure to use puree, not pumpkin pie mix.
Cream cheese - I recommend full-fat cream cheese in the frosting. Sometimes reduced-fat cream cheeses have a tendency to be softer and not set as well. I don't recommend using fat-free cream cheese in this recipe.
Butter - I use salted butter. If using unsalted butter, add a pinch or two of salt to the frosting.
Heavy cream - Using heavy cream makes the frosting lighter and fluffier. You can use milk if you prefer, but the frosting won't be quite a light or as fluffy.