Yes. A Bachelor of Social Work is sufficient to enter direct-contact social work, but it can limit overall earnings. According to PayScale, those with a Master of Social Work earned $31,000 to $62,000 a year, while those with a BSW earned $27,000 to $48,000.he type of social worker you decide to become can certainly affect your income. The following average annual salaries were reported by the Bureau of Labor Statistics for different social worker titles: 1  Mental, health, and substance abuse social workers: $39,000. 2  Child, family, and school social workers: $40,000.