In Star Trek: Discovery, the propulsion technology that uses fungal networks to jump across vast distances is the spore drive.
The spore drive is based on the fictional mycelial network, a non-linear ecosystem connecting locations throughout the universe. A starship equipped with the drive can enter this network and make rapid jumps instead of traveling through ordinary warp space. The USS Discovery becomes the best-known Federation vessel to operate the technology.
Lieutenant Paul Stamets serves as the drive’s principal navigator. His ability to interface with the system is a major part of the early seasons’ story. The drive’s operation is therefore not simply a mechanical process like conventional warp propulsion; it depends on biological and network-like elements.
The spore drive should not be confused with quantum slipstream or transwarp. Those technologies also provide exceptionally fast travel in Star Trek, but they use different fictional principles and are associated with other series or species.