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The deep sub-Ohmic spin-boson model shows a longstanding non-Markoviancoherence at low temperature. Motivating to quench this robust coherence, thethermal effect is unitarily incorporated into the time evolution of the model,which is calculated by the adaptive time-dependent density matrixrenormalization group algorithm combined with the orthogonal polynomialstheory. Via introducing a unitary heating operator to the bosonic bath, thebath is heated up so that a majority portion of the bosonic excited states isoccupied. It is found in this situation the coherence of the spin is quicklyquenched even in the coherent regime, in which the non-Markovian featuredominates. With this finding we come up with a novel way to implement theunitary equilibration, the essential term of the eigenstate-thermalizationhypothesis, through a short-time evolution of the model.