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In this paper, we continue our work in [15] to derive {\epsilon}-regularitycriteria at one scale without pressure for suitable weak solutions to theNavier-Stokes equations. We establish a $\varepsilon$-regularity criterionbelow of suitable weak solutions, for any $\delta>0$,$$\iint_{Q(1)}|u|^{\frac{5}{2}+\delta}dxdt\leq \varepsilon.$$ As anapplication, we extend the previous corresponding results concerning theimprovement of the classical Caffarelli--Kohn--Nirenberg theorem by alogarithmic factor.

A $\varepsilon$-regularity criterion without pressure of suitable weak solutions to the Navier-Stokes equations at one scale