In the present work, the effect of all-round compression up to 10 kbar on the in-plane electrical resistivity of well-structured Y0.66Pr0.34Ba2Cu3O7–δ (δ < 0.15, Тс ≈ 51.8 K, ΔТс ≈ 2 K) single crystals has been investigated. In contrast to the samples with low praseodymium doping (x ≈ 0.05), the application of all-round compression to the samples with medium praseodymium doping (х ≈ 0.34) leads to an increase in the baric derivative dТс/dP by more than two times. It was found that, in contrast to polycrystalline samples, there was no change in the sign of the baric derivatives dТс/dP. The applicability of the well-known McMillan formula to explain the effect of all-round compression on Тс is discussed.