Transparency in Cost of Veterans Care Act of 2014 - Requires the estimate included in the prospectus accompanying a request to Congress by the President or the Secretary of Veterans Affairs (VA) for funding for a major medical facility project or lease to identify the additional costs of providing hospital care or medical services resulting from the temporary displacement of clinical space required for the project, including the costs of: (1) contracting with a non-VA facility to furnish hospital care or medical services, (2) beneficiary travel, and (3) the lease or purchase of a temporary or mobile medical facility.