New vectorlike T-quarks (VLQ-T) have been predicted in many scenarios of new physics beyond the Standard Model, the current mass exclusion limits from LHC experiments will be relaxed by the presence of additional decay channels. In this work, we investigate the prospect of discovering the pair production of VLQ-T at the future 3 TeV Compact Linear Collider (CLIC), by focusing on the final signals via the standard decay channel T→Wb where one of the W bosons decays leptonically and the other decays hadronically. By performing a rapid detector simulation of the signal and background events as well as considering the initial state radiation and beamstrahlung effects, the exclusion limit at the 95% confidence level and the 5σ discovery prospects are, respectively, obtained on the integrated luminosity and the branching ratio of T→Wb for three typical VLQ-T masses.