Speaking to reporters, he recalled it was CPI-M along with other Left parties which had proposed the name of Ansari in 2007 for the vice president's post, which was accepted by the Congress-led UPA.
The Left parties were supporting UPA-1 government from outside at that time.
CPI(M) has already declared its support for UPA's Presidential poll candidate Pranab Mukherjee.
CPI-M will consult other Left and like-minded parties and a formal announcement on extending support to Hamid Ansari for a second term would be made on Monday, he said.
The name of the 75-year-old Ansari was announced by UPA Chairperson Sonia Gandhi at a meeting of the Congress-led coalition at Prime Minister Manmohan Singh's residence in New Delhi today.