Add onion and celery and cook until brown and tender.
Add carrots and brown for 5 minutes.
Add water, broth mix, and dill. Stir until blended. Cover and continue cooking until carrots are tender.
Remove from heat and pour half of the mixture into a blender with 1 cup of milk. First blend on low, then on high until puréed; pour into a serving bowl. Repeat with other half of mixture.