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This paper proposes a novel solution to make asynchronous handshake interfaces tolerant to crosstalk-glitch propagation (GP). This study leverages our recently proposed crosstalk-glitch modeling technique for asynchronous systems, which models the crosstalk GP in asynchronous interfaces. In this paper, a novel set of solutions to quench the GP is proposed. This set of solutions is called crosstalk-glitch gating, as the quenching is obtained by using carefully generated control signals. A step-by-step method is recommended to apply crosstalk-glitch gating to conventional asynchronous handshake interfaces. Transistor-level electrical simulations demonstrate that our method effectively generates crosstalk-glitch gate-controlling signals. In comparison with contemporary signal-integrity management techniques, our gating methodology can be applied to fewer nodes and earlier in the design cycle.