Nath, whose government is teetering on the brink of a collapse following the rebellion, reached Raj Bhavan late Friday morning to meet Tandon, who arrived here on Thursday night from Lucknow.
The chief minister is expected to brief the governor about the current political situation in the state, Congress sources said.
Nath's meeting with the governor comes amid unconfirmed reports that six ministers, said to be close to former Congress leader Jyotiraditya Scindia, will be coming to Bhopal from Bengaluru to hand over their resignation letters in person to the Assembly speaker.
Attempts to contact these ministers proved futile.
Scindia joined the BJP on Wednesday, a day after quitting the Congress.