This paper presents a sensitivity analysis of structural turbulence uncertainty estimates to time and space resolution of numerical computations. Turbulence uncertainty estimates are obtained by means of the Eigenspace Perturbation Method (EPM). Results show that, in general, one can not expect the turbulence uncertainty estimates to be mesh and time-step independent based on the sole sensitivity analysis of the baseline solution. The recommendation is to carry out independent sensitivity studies, to guarantee that the confidence uncertainty estimates are well-predicted regardless of the space and time resolution.