We propose a technique for compressing test vectors. The technique reduces test application time and tester memory requirements by utilizing part of the predecessor response in constructing the subsequent test vector. An algorithm is provided for stitching test vectors that retains full fault coverage while appreciably reducing time and tester requirements. The analysis provided enables significant compression ratios, while necessitating no hardware outlay whatsoever, making the technique we propose particularly suitable for SOC testing. The test time benefits necessitate no MISR utilization, ensuring no consequent aliasing loss. We examine a number of implementation considerations for the new compression technique and we provide experimental data that can be used to guide an eventual commercial implementation. Experimental data confirms the significant test application time and tester memory reductions.