Methods and apparatus of compression on multiple data flows for communication between a user equipment (UE) and a serving node. The methods and apparatus include receiving multiple data flows for compression, wherein each of the multiple data flows includes a plurality of data packets, with each data packet having a data packet header and a payload. Further, the methods and apparatus include determining a compression state for each of the multiple data flows. Moreover, the methods and apparatus include performing a first compression algorithm on each of the multiple data flows determined to have a compression state set to a do-not-compress state, wherein the first compression algorithm includes compressing the data packet header of each data packet without compressing the payload of each data packet.