An extensive technology development program, Muon Accelerator Program (MAP) , aimed at the construction of the Muon Collider is being pursued at Fermilab. There are a number of very difficult accelerator technologies that need to be developed for the successful construction of the Muon Collider. The rapid-cycling synchrotrons for the muon acceleration constitute one of them. At the MAP proposal the normal-conducting magnets are currently considered for the construction of the rapid-cycling synchrotrons. In this Note we outline possible application of High Temperature Superconductor (HTS) based magnets as the low power alternative to the proposed normal-conducting ones.