Improving Medicare-Medicaid Payment Policy for Reimbursement through Oversight and Efficiency Act of 2009 or the IMPROVE Act of 2009 - Amends titles XVIII (Medicare) and XIX (Medicaid) of the Social Security Act to require provider and supplier payments under Medicare and Medicaid to be made through direct deposit or electronic funds transfer (EFT) at depository institutions that are federally insured or eligibile for federal insurance.