Internet penetration is a critical factor in determining the adoption of an internet-based electronic voting system. In Nigeria for instance, the electoral bill which is to provide the legal backing for the transmission of voting data from polling units across the federation had witnessed huge setbacks hinged on lack of internet infrastructure in Nigeria's remote places. Arguments have been made for and against the possibility of disenfrenching citizens if electronic transmission was allowed in the electoral laws. In this article, we propose an electronic voting system model that allows the secured continuation of voting exercise in offline mode and the transmission of cast votes upon the restoration of internet connectivity using the infrastructures permissible with the blockchain technology. The model is adaptable in any national election, specifically, Nigeria's national elections.