Cook linguine as directed on package. Drain; cover to keep warm.
Meanwhile, heat 10-inch nonstick skillet over medium-high heat. Add chicken and garlic; cook 5 to 8 minutes, stirring frequently, until chicken is no longer pink in center.
Stir in tomatoes and basil. Heat to boiling. Reduce heat to low; cover and simmer 5 minutes, stirring occasionally.
Gently stir in cooked linguine. Sprinkle with cheese.