In this work, we study the approximation of traveling wave solutions propagated at minumum speeds c(0)(h) of the delayed Nicholson's blowflies equation: In order to do that, we construct a subsolution and a super solution to (). Also, through that construction, an alternative proof of the existence of traveling waves moving at minimum speed is given. Our basic hypothesis is that p/(1,e] and then, the monostability of the reaction term. Copyright (c) 2017 John Wiley & Sons, Ltd.