We propose a protocol to teleport a type of unknown M-quNit entanglement using a single maximally entangled quNit pair as a quantum channel. The faithful teleportation is possible at the expense of consuming local resources together with additional bi-quNit operations at the receiving site. Although the full set of measurement outcomes at the sending site consists of M + 1 Nits, the classical data necessary to rebuild the original teleported state at the receiving site can be managed so that a message of only two Nits suffices. The proposed protocol is economical in the sense that the cost of both quantum nonlocal resource and classical communication is minimal and does not depend on M.