  We examine cosmological constraints from high precision weak lensing surveys
including super-sample covariance (SSC) due to the finite survey volume.
Specifically, we focus on the contribution of {\it beat coupling} in the
intrinsic alignments as a part of full cosmic shear signal under flat sky
approximation. The SSC-effect grows by going to lower redshift bin and
indicates considerable footprint on the intermediate and high multipoles for
cumulative signal to noise ratio (SNR). The SNR is reduced by $\approx 10\%$ as
a consequence of including the intrinsic alignments super-sample covariance,
for the full cosmic shear signal, depending on the amplitude of intrinsic
alignments, the ellipticity dispersion and the survey redshift ranges, while
the contribution of photometric redshift error can be ignored in the cumulative
signal to noise ratio. Using the Fisher-matrix formalism, we find that the
impact of large modes beyond the volume of the surveys on the small modes
alters the intrinsic alignments. However, corresponding impact on the
cosmological parameters estimation is marginal compared to that of for
gravitational weak lensing, particularly, when all available redshift bins are
considered. Our results also demonstrate that, including SSC-effect on the
intrinsic alignments in the analytical covariance matrix of full cosmic shear
leads to increase marginally the confidence interval for $\sigma_8$ by $\approx
10\%$ for a sample with almost high intrinsic alignments amplitude.
