  We investigate non-resonant thermal leptogenesis in the context of the $SU(5)
\times \mathcal{T}_{13}$ "asymmetric texture", where both Dirac and Majorana
${CP}$ violation arise from a single phase in the tribimaximal seesaw mixing
matrix. We show that the baryon asymmetry of the universe can be explained in
this model only when flavor effects are considered for right-handed neutrino
masses of $\mathcal{O}(10^9 - 10^{12})$ $\text{GeV}$. The sign of the baryon
asymmetry also determines the sign of the previously predicted Dirac
$\require{cancel}\cancel{CP}$ phase $|\delta_{CP}| = 1.32\pi$, consistent with
the latest global fit $\delta_{CP}^{PDG} = 1.37 \pm 0.17\pi$.
