A communication in this regard was given to chief electoral officer and assembly secretary by the Election Commission.
Election to three Rajya Sabha seats from Kerala falling vacant next month was to be held on April 12.
The notification for the biennial elections will be issued on March 24.
Modi had been elected to the state assembly, the state legislative council, the Lok Sabha and now, the Rajya Sabha.
With the new equation, wherein the SP has put its stakes on the 10th seat as well with the nomination of Prakash Bajaj, voting has become inevitable.
Coming close on the heels of the three-phase Bihar Assembly elections, the result of the Rajya Sabha polls will be announced on November 11.
Union Minister Hardeep Singh Puri and SP leader Ram Gopal Yadav are among the 10 members from Uttar Pradesh retiring on November 25.
Rajya Sabha elections do not take place by secret ballot as the voter has to show the marked ballot to the party's polling agent before putting it in the ballot box.