At least half a dozen names have begun doing the rounds as Dhami's likely replacement, including Chaubattakhal MLA Satpal Maharaj, Srinagar Garhwal MLA Dhan Singh Rawat, former chief minister Triveda Singh Rawat, who did not contest the polls this time, and Didihat legislator Bishan Singh Chufal.
The swearing-in ceremony may take place on Tuesday with Prime Minister Narendra Modi, Home Minister Amit Shah, BJP president J P Nadda and chief ministers of several BJP-ruled states likely to attend the event, he said.
By March 17 it would be clear on who will be anointed to the post.
Incumbents Pushkar Singh Dhami and Pramod Sawant are the clear favourites but face some opposition
The legislature party meeting will be held on Friday in the presence of the central observers and party in-charge of Uttarakhand affairs Shyam Jaju.