Put the linguine, olive oil, 1 teaspoon salt and 4 1/2 cups water in a 4-quart saucepan and bring to a boil over medium-high heat. Continue to cook, stirring occasionally so the pasta doesn't clump together, until al dente, about 10 minutes. Add the tomatoes and pesto and stir until the tomatoes begin to soften and the pesto is combined. Add up to 1/4 cup additional warm water if the sauce is too thick. Remove from the heat. Add the mozzarella and soppressata. Divide among 4 bowls and serve.
The success of this recipe is dependent upon the specific pasta shape suggested, so we don't recommend substitutions.
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