We describe a communication scheme based on chaotic Rössler oscillators for transmission of secure messages via computers. The computers are synchronized through one of the channels via one of the variables of the Rössler system, while an information signal is transmitted through another channel by adding the message to another system variable. This scheme provides more stable communication because the information signal does not enter to the receiver and hence does not cause an error in synchronization. The method is tested with different types of information signals: audio, text, and image.