Multi-field programming gate array (FPGA) systems are widely used in various circuit design-related areas, such as hardware emulation, virtual prototypes, and chiplet design methodologies. However, a physical resource clash between inter-FPGA signals and I/O pins can create a bottleneck in a multi-FPGA system. Specifically, inter-FPGA signals often outnumber I/O pins in a multi-FPGA system. To solve this problem, time-division multiplexing (TDM) is introduced. However, undue time delay caused by TDM may impair the performance of a multi-FPGA system. Therefore, a more efficient TDM solution is needed. In this work, we propose a new routing sequence strategy to improve the efficiency of TDM. Our strategy consists of two parts: a weighted routing algorithm and TDM assignment optimization. The algorithm takes into account the weight of the net to generate a high-quality routing topology. Then, a net-based TDM assignment is performed to obtain a lower TDM ratio for the multi-FPGA system. Experiments on the public dataset of CAD Contest 2019 at ICCAD showed that our routing sequence strategy achieved good results. Especially in those testcases of unbalanced designs, the performance of multi-FPGA systems was improved up to 2.63. Moreover, we outperformed the top two contest finalists as to TDM results in most of the testcases.