In 4- to 6-quart slow cooker, gently mix all ingredients except carrots.
Cover; cook on Low heat setting 3 to 4 hours.
Remove ham bone from soup. Let stand about 15 minutes or until cool enough to handle.
Remove ham from bone. Remove excess fat from ham; cut ham into 1/2-inch pieces. Stir ham and carrots into soup. Increase heat setting to High. Cover; cook about 15 minutes longer or until carrots are tender.