The existing worst-case response-time analysis for Controller Area Network (CAN) does not support mixed messages that are scheduled with offsets in the systems where the CAN controllers implement abortable transmit buffers. Mixed messages are partly periodic and partly sporadic. These messages are implemented by several higher-level protocols based on CAN that are used in the automotive industry. Moreover, most of the CAN controllers implement abortable transmit buffers.We extend the existing analysis with offsets for mixed messages in CAN. The extended analysis is applicable to any higher-level protocol for CAN that uses periodic, sporadic, and mixed transmission of messages where periodic and mixed messages can be scheduled with offsets in the systems that implement abortable transmit buffers in the CAN controllers.