The existing response-time analysis for messages in Controller Area Network (CAN) with controllers implementing non-abortable transmit buffers does not support mixed messages that are implemented by several high-level protocols used in the automotive industry. We present the work in progress on the extension of the existing analysis for mixed messages. The extended analysis will be applicable to any high-level protocol for CAN that uses periodic, sporadic and mixed transmission modes and implements non-abortable transmit buffers in CAN controllers.