In this work, we study the hidden-strange molecular states composed of a baryon and a vector meson in a coupled-channel Nρ − Nω − Nφ − ΛK * − ΣK * interaction. With the help of the effective Lagrangians which coupling constants are determined by the SU(3) symmetry, the interaction is constructed and inserted into the quasipotential Bethe-Salpeter equation to search for poles in the complex plane, which correspond to molecular states. Two poles are found with a spin parity 3/2 − near the Nρ and the ΣK * thresholds, which can be related to the N(1700) and the N(2100), respectively. No pole near the Nφ threshold can be found if direct interaction between a nucleon and φ meson is neglected according to the OZI rule. After introducing the QCD van der Waals force between a nucleon and φ meson, a narrow state can be produced near the Nφ threshold. Inclusion of the QCD van der Waals force changes the line shape of the invariant mass spectrum in the Nφ channel leading to a worse agreement with the present low-precision data. Future experiments at BelleII, JLab, and other facilities will be very helpful to clarify the existence of these possible hidden-strange molecular states.