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Abstract In this paper, we have investigated that the power law variation of Brans–Dicke scalar field $$(\phi )$$ ( ϕ ) with scale factor (a) is not validated by field equations in general for the Universe filled with dark matter and Tsallis type holographic dark energy. However, for specific choice of free parameters $$(\omega = -\frac{3}{2}$$ ( ω = - 3 2 and $$n = -1)$$ n = - 1 ) which are differ from its values fixed in Ghaffari et al. (Eur Phys J C 78:706, 2018) to describe various physical properties of the Universe in derived model, the power law variation of $$\phi $$ ϕ with a leads to consistent results. Further, we notice that the energy conservation law for Tsallis holographic dark energy in Brans–Dicke gravity does not hold.