Teaming with Wildlife Act of 2009 - Amends the Pittman-Robertson Wildlife Restoration Act to require the Secretary of the Treasury to transfer to the federal aid to wildlife restoration fund for deposit in the Wildlife Conservation and Restoration Account for each of FY2011-FY2016 specified funds from: (1) amounts received from rents, royalties, and other sums paid to the Secretary or the Secretary of the Navy under leases on the outer Continental Shelf; and (2) amounts received from sales, bonuses, and royalties collected under the Federal Oil and Gas Royalty Management Act of 1982 and from rentals of public lands under the Mineral Leasing Act and the Geothermal Steam Act of 1970.