1. Stir together first 5 ingredients in a Dutch oven over medium-high heat; bring to a boil. Reduce heat to low; simmer, stirring occasionally, 15 minutes.
2. Place biscuits on a lightly floured surface. Roll or pat each biscuit to 1/8-inch thickness; cut into 1/2-inch-wide strips.
3. Return broth mixture to a low boil over medium-high heat. Drop strips, 1 at a time, into boiling broth. Reduce heat to low; simmer 10 minutes, stirring occasionally to prevent dumplings from sticking.