Cook pasta according to package directions.
Meanwhile, in a large skillet, saute chicken in 1 tablespoon oil for 4-5 minutes or until no longer pink; drain. Remove and keep warm.
In the same skillet over medium heat, cook carrots in remaining oil for 3 minutes, stirring occasionally. Add broccoli and garlic; cook 2 minutes longer. Stir in the chicken, broth, cheese, basil and salt. Bring to a boil. Reduce heat; simmer, uncovered, for 4-6 minutes or until vegetables are tender.
Drain pasta; serve with chicken mixture. Sprinkle with additional cheese.