Veterans Small Business Support Act - Amends the Small Business Act to prohibit the Administrator of the Small Business Administration (SBA) from assessing a guarantee fee in connection with a loan made under the SBA Express Program to a veteran or spouse of a veteran on or after October 1, 2014.

Directs the Administrator to report to Congress on: (1) the feasibility of providing financial planning and counseling to owners of small business concerns who are members of a reserve component prior to deployment; (2) the level of outreach to and consultation with female veterans by women's business centers and veterans business outreach centers; and (3) the Military Reservists Economic Injury Disaster Loan Program, which shall include a discussion of SBA outreach efforts to increase participation, the number of loans made, and an analysis of the effectiveness of, and recommendations for improving, the Program.