Cook the chicken breasts until fully cooked and then dice them into small pieces.
In a large soup pot, pour in the chicken broth and add the diced chicken. Bring it to a boil.
Stir in the cream of chicken soup until well combined with the broth and chicken.
Cut the biscuits into small pieces. They will expand while cooking, so make sure they are not too large.
Drop the biscuit pieces, one at a time, into the boiling broth. You can reduce the heat slightly at this point to prevent the dumplings from sticking.
Cook the dumplings in the broth for about 15 minutes or until they are fully cooked and fluffy.
Drop the 2 tablespoons of butter on top of the cooked dumplings in the pot and let it melt. Gently stir to distribute the butter.
In a separate bowl, make a slurry by mixing the flour and water until no lumps are visible.
Slowly pour the flour-water slurry into the pot with the dumplings and broth, stirring gently. This will thicken the broth and give the dish a creamy texture.
Continue cooking for an additional 10 minutes to ensure the flour is fully cooked and the broth thickens to the desired consistency.
Season the chicken and dumplings with salt and pepper to taste.