We consider an extension of the Standard Model with three heavy right-handed neutrino. Active neutrino get a mass with the seesaw mechanism and baryon asymmetry is generated through leptogenesis scenario. Moreover we consider a reasonable hierarchical structure for Dirac neutrino mass matrix, similar to up-type quark mass matrix. Under such a conditions it follows
a relevant connection between high scale CP violation and low energy Dirac neutrino CP phase. Leptogenesis requires a compact heavy right-handed neutrino mass spectrum that implies a relation between low energy neutrino parameters. In particular we obtain that the
Dirac CP phase is restricted in the range $-0.90\pi<\delta<-0.75\pi$ and the lightest active neutrino mass in the range $m_1\sim( 0.002 - 0.004)$ eV.