Brush top of each biscuit with olive oil; sprinkle tops with oregano. Bake as directed on can. Cool. Split biscuits; set aside.
In 10-inch skillet, cook sausage patties over medium heat until golden brown on each side. Remove from heat. Top each patty with slice of cheese; let stand until melted.
To assemble each slider, top bottom half of biscuit with sausage patty and 1 sun-dried tomato; cover with top half of biscuit.