Make the Caesar dressing ahead of time if desired and refrigerate until ready to use.
Bring a large pot of salted water to a boil and cook the cheese tortellini according to package directions until al dente.
Drain the tortellini in a colander and rinse briefly with cold water to stop cooking and cool slightly.
Place the drained tortellini in a large bowl, then add the chopped romaine, croutons, and shaved Parmesan.
Drizzle the Caesar dressing over the salad and toss gently with tongs or salad servers until everything is evenly coated.
Season with kosher salt and freshly ground black pepper to taste, then serve immediately.
