Methods, systems, and devices are described for wireless communication at a UE. In aspects, a receiver may receive a transmission requesting information about support for data compression. The receiver may determine parameters related to the types of supported data compression and communicate the information to the transmitting device. In some cases, the receiver may then receive a message from the transmitting entity that requests establishment of a data compression configuration. The receiver may respond with confirmation or rejection of the proposed compression configuration. If the configuration is confirmed, the transmitter and receiver may exchange compressed data packets according to the configuration. The devices may exchange status and control information related to the compression configuration (e.g., in a compression header of a compressed message or a separate status and/or control information message).