Joint remote state preparation (JRSP for short)can increase the security of quantum communication by distributing different parts of classical information to different senders. However, the communication efficiency in terms of fidelity decreases with the increase of intermediate nodes in multi-hop network. In this paper, we try to explore methods to improve fidelity of JRSP in multi-hop network presented by Zhang and Chen in 2023 Phys. Scr. 98 065107. Specifically, correlated Pauli noise with partial memory was introduced into the the shared channel. We find that the fidelity increases with the increase of memory parameters, which compensates for the loss of fidelity caused by the increase of network nodes.