Start the water boiling for the pasta. When it boils, cook as directed on the package.
Meanwhile, make a white sauce by melting the butter in a medium sized saucepan over medium heat. Whisk in the flour until combined; cook for a couple minutes, stirring constantly. Slowly add the milk and stir over medium-high heat until thickened.
Add the pesto to the white sauce, stir and remove from heat.
Drain the pasta and return pasta to the pot.
Toss the sauce with the pasta and serve.
