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The littlest Higgs model is the most economical one among various little Higgs models. In the context of the littlest Higgs (LH) model, we study the process e-γ→veW-H and calculate the contributions of the LH model to the cross section of this process. The results show that in most of the parameter spaces preferred by the electroweak precision data, the value of the relative correction is larger than 10%. Such correction to the process e-γ→veW-H is large enough to be detected via e-γ collisions in the future high energy linear e+e- collider (ILC) experiment with the cm. Energy (√s) = 500 GeV and a yearly integrated luminosity ￡ = 100 fb-1, which will give an ideal way to test the model.