Abstract In this work, we study the p-wave superconductivity in a square lattice within a Hubbard model, in which a second-neighbour correlated hopping Δ t 3 is included. An infinitesimal distortion of the right angles in the square lattice is considered, which leads to second correlated hoppings Δ t 3± δ 3 in the x ˆ ± y ˆ directions, respectively. This study is carried out by means of the BCS formalism and we found a triplet superconducting ground state even though V=0. The optimal electron density for the critical temperature and the superconducting gap is analyzed as a function of the parameters of the model. Finally, the single-particle excitation gap is also calculated for different electron densities.