A method and an apparatus for accessing data of a message memory of a communication module by inputting or outputting data into or from the message memory, the message memory being connected to a buffer memory assemblage and the data being transferred to the message memory or from the message memory, the buffer memory assemblage having an input buffer memory in the first transfer direction and an output buffer memory in the second transfer direction; and the input buffer memory and the output buffer memory each being divided into a partial buffer memory and a shadow memory, the following steps being performed in each transfer direction: inputting data into the respective partial buffer memory, and transposing access to the partial buffer memory and shadow memory, so that subsequent data can be inputted into the shadow memory while the previously inputted data are already being outputted from the partial buffer memory in the stipulated transfer direction.