Mobile Stream Control Transmission Protocol (mSCTP) is recently proposed to support mobility in the transport layer without requiring additional network components. mSCTP provides mobility to all applications that use mSCTP as a transport protocol. However, current mSCTP does not include location management service and can not make connection from a Corresponding Node (CN) to a Mobile Node (MN) without assistance of other mobile protocols. We propose mSCTP proxy which supports making an mSCTP connection from the CN to the MN. Proposed mSCTP proxy performs an address transformation by direct interoperation with generic location management service and forward connection set up messages to the MN. Using the proposed proxy, mSCTP can provide a complete mobility support including a connection setup and maintaining an existing connection.