“I would say that it's possible. It seems more than likely that we will hold consultations,” Patnaik said.
Asked if he could back a Congress candidate, Patnaik said it was difficult.
“Consultation is required within the party. I think personally... it is difficult," he said.
Patnaik was among the chief ministers who had opposed the centre's move on setting up the anti-terror intelligence hub National Counter Terrorism Centre.
Names of Vice President Hamid Ansari and Finance Minister Pranab Mukherjee are doing the rounds as probable Congress candidates for the presidential polls.
Bharatiya Janata Party (BJP) leader Sushma Swaraj had said that her party will not support a Congress candidate.