In 4- to 5-quart Dutch oven, heat broth, chicken, soup and poultry seasoning to boiling over medium-high heat; reduce heat to low. Cover; simmer 5 minutes, stirring occasionally. Increase heat to medium-high; return to a low boil.
On lightly floured surface, roll or pat each biscuit to 1/8-inch thickness; cut into 1/2-inch-wide strips.
Drop strips, one at a time, into boiling chicken mixture. Add carrots and celery. Reduce heat to low. Cover; simmer 15 to 20 minutes, stirring occasionally to prevent dumplings from sticking.