Assemble the Base:
In your crockpot, layer the onion, celery, carrots, and garlic. Season the chicken breasts generously with salt, pepper, and oregano, then place them on top of the vegetables.
Add the Creamy Components:
Pour in the cream of chicken soup and chicken broth. Add the thyme sprigs and bay leaf. Stir lightly to combine the liquid base without breaking apart the vegetables too much.
Cook the Chicken:
Cover and cook on low for 5–6 hours or high for 3 hours, until the chicken is tender and fully cooked through.
Shred and Return:
Remove the chicken breasts, shred them with two forks, and return the shredded chicken to the crockpot. Discard the thyme stems and bay leaf.
Add Peas and Dumplings:
Stir in the thawed peas. Cut each biscuit into quarters and place them gently on top of the soup mixture. Cover and cook on high for 1 additional hour, or until the biscuits are cooked through and fluffy.
Serve and Enjoy:
Taste and adjust seasoning as needed. Ladle into bowls and serve warm with a sprinkle of black pepper or fresh herbs.