Move oven rack 6 to 8 inches from broiler. Heat oven to 425°F. Place frozen rolls on microwavable plate. Microwave uncovered on High about 5 seconds or until partially thawed. Cut each roll in half. Place rolls, cut sides down, on cookie sheet. Bake 3 to 5 minutes or until light golden brown. Remove from oven. Set oven control to broil.
In 2-quart saucepan, heat soup over medium-high heat until hot. Stir in spinach. Place 2 ovenproof bowls on cookie sheet with sides. Ladle soup into bowls. Place 2 roll halves, cut sides up, in each bowl. Sprinkle with Asiago cheese.
Broil with tops 3 to 5 inches from heat 1 to 3 minutes or until cheese is bubbly. Carefully transfer bowls to serving plates.