Gently heat 1 tablespoon olive oil in a large pot. Add the chicken and cook stirring until no longer pink, about 5 minutes. Remove chicken from pot using a slotted spoon.
Once garlic and mushrooms are cooked, add the flour. Stir until a smooth paste is formed.
Stir in the wine, milk, and cream cheese. Season to taste and keep stirring until sauce thickens and when it begins to bubble add the chicken back in. Turn down to simmer until chicken cooked through fully.
Whilst chicken is simmering cook the pasta according to packet instructions.
Once pasta cooked, drain fully, and stir into the chicken in white sauce.