  We propose a linear seesaw model to realise light Dirac neutrinos within the
framework of $A_4$ discrete flavour symmetry. The additional fields and their
transformations under the flavour symmetries are chosen in such a way that
naturally predicts the hierarchies of different elements of the seesaw mass
matrix and also keeps the unwanted terms away. For generic choices of flavon
alignments, the model predicts normal hierarchical light neutrino masses with
the atmospheric mixing angle in the lower octant. Apart from predicting
interesting correlations between different neutrino parameters as well as
between neutrino and model parameters, the model also predicts the leptonic
Dirac CP phase to lie in a specific range $-\pi/2\lesssim \delta \lesssim
-\pi/5$ and $\pi/5\lesssim \delta \lesssim \pi/2$ that includes the currently
preferred maximal value. The predictions for the absolute neutrino masses in
one specific version of the model can also saturate the cosmological upper
bound on sum of absolute neutrino masses.
