Slice the package of dinner rolls horizontally to create a top and bottom half. Lay the bottom halves cut-side up on a parchment-lined baking sheet.
In a small bowl, combine tomato sauce and hot sauce. Spread this mixture evenly over the cut surface of the bottom rolls.
Sprinkle half of the mozzarella cheese over the sauce. Arrange the beef pepperoni slices on top of the cheese. Sprinkle the remaining mozzarella cheese over the pepperoni.
Sprinkle dried oregano evenly over the top layer of mozzarella. Place the top halves of the rolls on top and lightly press down.
Brush the top surfaces of the assembled sliders generously with melted butter. Bake at 350°F (175°C) for 15-20 minutes, or until golden brown and bubbly.
Let the pizza sliders rest for 5-10 minutes before carefully cutting between individual rolls. Serve warm.