In a simplified model including an SU (2) singlet T quark with charge 2/3, we investigate the single vector-like T production at the high energy eγ collision. We study the observability of the vector-like T focusing on the T → W b decay channel with W → lν at √ s = 2.0 TeV. In this analysis, only two free parameters are involved, namely the T quark coupling strength for single production g * and the mass m T . We scan the parameter space and find that the correlation region of g * ∈ [0.24, 0.5] and m T ∈ [800, 1360] GeV can be excluded with integrated luminosity L = 100 fb −1 and the correlation region of g * ∈ [0.13, 0.5] and m T ∈ [800, 1620] GeV can be excluded with integrated luminosity L = 1000 fb −1 at 2σ level.