In this work, small-world outer synchronization of coupled small-world networks is presented. In particular, we use Newman and Watts model to achieve small-world outer synchronization of small-world chaotic networks with Chua's oscillators like chaotic nodes. By means of extensive numerical simulations, we show that the new outer connections between existing networks decrease the necessary coupling strength to achieve outer synchronization. Two scenarios of interest are studied, (i) small-world outer synchronization with unidirectional outer connections (with chaotic master network), and (ii) small-world outer synchronization with bidirectional outer connections (without chaotic master network). In both scenarios, the isolated networks are bidirectionally coupled using Chua's oscillators like chaotic nodes.

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