Bring a large pot of salted water to a boil. Add the pasta and cook as the label directs, then drain and rinse under cold water. Transfer to a bowl; drizzle lightly with olive oil and set aside.
Meanwhile, heat 2 tablespoons olive oil in a large pot over medium-high heat. Add the onion, Canadian bacon, garlic, Worcestershire sauce and half of the dill and cook, stirring occasionally, until the onion is soft and slightly golden, 6 to 8 minutes.
Add the mixed vegetables and 1/4 cup water to the pot; cover and cook until beginning to soften, 4 minutes. Add the broth, 2 cups water, 1 teaspoon salt, and pepper to taste. Bring to a high simmer and cook, uncovered, until the vegetables are tender, 12 to 15 more minutes. Stir in the pasta and the remaining dill; season with salt and pepper.
Divide the soup among bowls. Top with the sour cream and sprinkle with paprika. Serve with rolls.