Influence of high hydrostatic pressure up to 12 kbar on the basal-plane electrical resistance of Y1−xPrxBa2Cu3O7−δ single crystals is investigated for moderate Pr doping levels (x ≈ 0.23). The application of high pressure leads to a threefold increase of the derivative dTc/dP in comparison with optimally-doped YBCO single crystals. Possible mechanisms of Tc suppression are discussed with account for features in the electronic spectrum of charge carriers, typical for lattices with strong coupling. The excess conductivity Δσ(T) obeys an exponential temperature dependence in the broad temperature range Tf < T < T*. The dependence Δσ(T)∼(1−T/T*)exp(Δab*/T) is interpreted in terms of the mean-field theory, where T* is the mean-field temperature of transition to the pseudogap state and the temperature dependence of the pseudogap is described satisfactory within the BCS-BEC crossover theory. All in all, an increase of the pressure results in a narrowing of the pseudogap temperature interval, expanding the temperature range of resistance linear dependence.