The party has three lawmakers in the upper house, including Naresh Gujral, whose name was also in contention.
The BJP-led NDA lacks majority in the Rajya Sabha.
Earlier today, Rajya Sabha Chairman M Venkaiah Naidu announced in the House that the election will be held at 11 am on August 9.
He also suggested that the deputy chairman should be elected by consensus. The nomination papers will have to be filed before noon on August 8.
While the BJP-led NDA did not make any formal announcement, sources said Harivansh, a first-time parliamentarian, is likely to be their choice for the post.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)