Very recently, the LHCb Collaboration released the newest measurements of B s → J/ψp p, where an enhancement structure near 4.34 GeV was observed in the invariant mass spectrum of J/ψp with the statistical significance of 3.1 ∼ 3.7 σ. In this work, by performing a combined analysis for the three invariant mass spectra of B s → J/ψp p, we find that this J/ψp structure near 4.34 GeV can correspond to the contributions from the P c (4380) + state with the assumption of J P = 3/2 − together with the reflections of B s → ( f * 2 → p p)J/ψ. Here, P c (4380) was first observed in Λ b → J/ψpK but not confirmed in the updated LHCb data in 2019, and f * 2 means the exciting light isoscalar tensor meson around 2.0 GeV. Thus, this provides a possible evidence to support the existence of the pentaquark P c (4380). Specifically, the assumed spin-parity J P = 3/2 − of P c (4380) is consistent with a prediction of the theoretical explanation of an S -wave DΣ * c molecular bound state.