He will meet with the Congress MLAs, MLCs and MPs at Jubilee Hall here.
The Congress Legislature Party (CLP) has sent a communication to all its legislators to attend the meeting without fail, the sources said.
Congress has a strength of 155 in the 294-member House.
The city-based Majlis Ittehadul Muslimeen (MIM), which has a strength of seven MLAs, has announced support for Mukherjee's candidature.
Main opposition Telugu Desam-86, Yuvajana Sramika Rythu Congress Party of Kadapa MP Y S Jagan Mohan Reddy (YSRCP)-17 and Telangana Rashtra Samiti (TRS)-17 are yet to announce their decision on whom to support in the Presidential poll.
NDA's presidential nominee P A Sangma sought the support of TDP, TRS and also YSRCP for his candidature. PTI SJR GK RAI