Preheat the oven to 350 degrees F (175 degrees C). Grease a 9x13-inch pan.
Prepare brownie mix: Stir brownie mix, water, oil, and eggs in a medium bowl until well blended. Spread evenly into the prepared pan.
Prepare cheesecake topping: Beat together cream cheese, egg, and sugar using an electric mixer until smooth. Dollop the cream cheese mixture on top of the brownie batter. Swirl together using a knife or skewer.
Bake in the preheated oven for 22 to 25 minutes. Brownies will be done when a toothpick inserted comes out clean. Cool in the pan, then cut into 24 squares and serve.
