NCP chief and agriculture minister Sharad Pawar backed the proposal, sources said.
There have been precedents of adjournment of Parliament for the day as a mark of respect to personalities who have not been members of either House.
Sources said Geete cited the instances of CPI(M) veteran EMS Namboodiripad and Jana Sangh chief Deen Dayal Upadhyay in this regard.
Both the Lok Sabha and the Rajya Sabha will be making obituary references to Thackeray on Thursday.