In this note, we investigate the stabilization of discrete-time linear systems with an unknown time-varying delay. Existing literature on stabilization of time delay systems all require some knowledge, such as an upper bound, of the delay. In this work, by proposing a switched low gain feedback control law, we are able to achieve asymptotic stabilization of the system without any knowledge of the ... [Show full abstract] delay. In addition, the proposed switched low gain feedback law also significantly improves the closed-loop system performance in terms of overshoot and convergence speed in comparison with the traditional fixed gain design. Simulation study illustrates the effectiveness of our theoretical results.