I found this recipe on Cooking Classy. It was pretty delicious. I made just a couple of changes to her version.
What You Need:
12 oz dry fettuccine pasta
1 lb chicken breasts
1.5 lbs broccoli crowns (chopped into florets)
2 Tbsp butter
1 tsp minced garlic
3 Tbsp flour
2 cup milk (2%)
Salt and pepper
3 oz cream cheese, cubed
1/2 cup finely shredded parmesan
3 Tbsp heavy cream
1 Tbsp lemon juice
Lemon zest (just a touch)
What You Do:
Grill the chicken and cut into strips
Cook pasta according to package.
Add in broccoli when pasta has 5 minutes left to cook
Drain them together (save 1/4 cup water in case you need to thin the sauce later)
In large skillet, melt butter over medium heat, add garlic and flour and cook for 1 minute, stirring constantly. Pour milk into flour mixture, whisking constantly until mixture smooths out.
Add in cream cheese and parmesan, whisk until smooth.
Add cream and salt and pepper (to taste).
Stir in lemon juice and just a touch of lemon zest.
Once it is all mixed you will need to serve quickly or it will begin to thicken. If you want to thin it, add the pasta water (or even more milk).
Toss pasta, broccoli in chicken in sauce and serve immediately.