In this paper, we consider the conditional regularity for the 3D incompressible Navier-Stokes equations in Vishik spaces in terms of only two components of the vorticity vector, or scalar pressure. These results will be regarded an improvement of the results given by Zhang-Chen (J Differ Equ 216(2):470-481, 2005), Fan-Jiang-Ni (J Differ Equ 244(11):2963-2979, 2008) and Kanamaru (J Evol Equ 1-17, 2020).