The spin squeezing model has attracted a lot of attention due to its important applications in entanglement detection and measurement accuracy improvement. The transmission of quantum states in quantum informatics is a practical problem. The topic of this article is how to achieve high fidelity quantum state transfer in an open spin squeezing model. This article explores the evolution dynamics of fidelity over time in quantum state transmission based on the open spin squeezing model, and seeks effective ways to improve the fidelity of quantum state transmission. In addition to discussing the effects of spin squeezing, environmental memory, and magnetic fields on quantum state transmission, the fidelity of three different system-environment coupling models, namely the dissipative model, spin-boson model, and dephasing model, was also compared. The results indicate that the fidelity of quantum state transmission can be effectively improved by constructing a non-Markovian environment, regulating spin squeezing effects, and applying an external magnetic field. It was found that among the three different coupling models, the suppression effect on the fidelity of quantum state transmission in the dephasing model was the weakest.