The freeze-in scenario of leptogenesis via oscillations within the type-I seesaw model with two quasi-degenerate heavy Majorana neutrinos $N_{1,2}$ can be viable in the mass range $M\sim (0.1-100)\,\text{GeV}$ even when the Dirac phase $\delta$ of the Pontecorvo-Maki-Nakagawa-Sakata neutrino mixing matrix is the only source of CP-violation in the leptonic sector
and in leptogenesis. In particular, viable leptogenesis with Dirac phase CP-violation is compatible with $N_{1,\,2}$ total squared coupling to the Standard Model leptons within the reach of future planned and proposed experiments. Moreover, the parameter space differs from the one associated with the Casas-Ibarra sources of CP-violation. Future precise determination of $\delta$ and/or the $N_{1,2}$ couplings to the Standard Model leptons could establish whether, within the context of low-scale leptogenesis, the Dirac phase alone can be responsible for the present baryon asymmetry of the Universe.