  In this paper, we investigate the implication of modular $\Gamma^{\prime}_5
\simeq A^{\prime}_5$ symmetry on neutrino oscillation phenomenology in the
linear seesaw framework. In order to achieve the well defined mass structure
for the light active neutrinos as dictated by the linear seesaw mechanism, we
introduce six heavy fermion fields along with a pair of weightons to retain the
holomorphic nature of the superpotential. The notable feature of modular
symmetry is that, it reduces the usage of flavon fields significantly. In
addition, the Yukawa couplings transform non-trivially under the flavor
symmetry group and expressed in terms of the Dedekind eta functions, the $q$
expansion of which renders numerical simplicity in calculations. We demonstrate
that the model framework diligently accommodates all the neutrino oscillation
data. Alongside, we also investigate the effect of CP asymmetry generated from
the decay of lightest heavy fermions to explain the observed baryon asymmetry
through the phenomenon of leptogenesis.
