  In this paper, we consider the local regularity of suitable weak solutions to
the 3D incompressible Navier-Stokes equations. By means of the local pressure
projection introduced by Wolf in [15,16], we present a $\varepsilon$-regularity
criterion below of suitable weak solutions $$ \iint_{Q(1)}|u|^{20/7}dxdt\leq
\varepsilon, $$ which gives an improvement of previous corresponding results
obtained in Chae and Wolf [3, Arch. Ration. Mech. Anal., 225: 549-572, 2017],
in Guevara and Phuc [6, Calc. Var., 56:68, 2017] and in Wolf [16, Ann. Univ.
Ferrara, 61: 149-171, 2015].
