As electronic detection technology advances and the need for secure communication in terminal devices grows, traditional methods such as spread spectrum and overlapping communication are becoming inadequate for covert satellite communication. This paper introduces an enhanced approach by integrating the CA security protocol with satellite overlapping clandestine communication techniques. A network protocol stack, based on the TCP/IP reference model, is developed with a focus on the network layer and the data link layer. This study leverages the CSMA/CA key access technology at the link layer and proposes a method to mitigate interference in overlapping communication. It employs the LSTM algorithm to hypothesize the spectral posture of covert signals. It utilizes the least fitting degree method to minimize the impact of cover signals on the sub-spectrum of covert signals. The efficacy of this approach is assessed through simulation experiments, which provide a statistical analysis of the generated satellite overlapping covert signals. The results demonstrate a high anti-jamming probability, with complex envelope amplitude values ranging from 0.5 to 1.0, nearing a likelihood of 1. Additionally, the covert signals maintain a noise power spectral density similarity in the −2 to 2 Hz range, thereby enhancing their camouflaging effect.