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To reduce the secrecy loss due to the correlation between main and wiretap channels, this paper introduces a cooperative jamming relay to degrade the reception at the eavesdropper. We consider slow-fading multiple-input-single-output wiretap channels with a passive single-antenna eavesdropper, where full information for the channels to the legitimate receiver and statistical information for the channels to the eavesdropper is available. By deploying the cooperative jamming relay reasonably, the correlation between the channels from the introduced relay to the legitimate receiver and the eavesdropper can be much below than that between the main and wiretap channels. Thus, the relay can interfere with the eavesdropper more effectively than the traditional scheme of artificial noise-aided beamforming at the transmitter. The simulation results demonstrate that the secrecy outage probability under the transmit power and target secrecy rate constraints is reduced substantially.