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We propose a new current-driven mechanism for achieving significant plasmondispersion nonreciprocity in systems with narrow, strongly hybridized electronbands. The magnitude of the effect is controlled by the strength ofelectron-electron interactions $\alpha$, which leads to its particularprominence in moir\'e materials, characterized by $\alpha \gg 1$. Moreover,this phenomenon is most evident in the regime where Landau damping is quenchedand plasmon lifetime is increased. The synergy of these two effects holds agreat promise for novel optoelectronic applications of moir\'e materials.

Plasmonic nonreciprocity driven by band hybridization in moir\'e materials