This response is based on the information provided.  We suggest you discuss with your contracting and finance team, program manager and/or legal department as appropriate.

You need a properly trained Contracting Officer's Representative (COR) to administer the contract.  Since you have no project scheduled you do not need a COR at award, but that is not prudent.  The COR should be ready in advance of a project and can help in the planning stages depending on the project and the COR skill set, which should be in alignment.