Obama will be pushing to avert deep federal spending which are set to take effect starting on Friday.
The state leaders are in Washington for the annual meeting of the National Governors Association. The President and Vice President are scheduled to address them at the White House.
Obama administration officials warn of significant airport delays, deep cuts to education and furloughs for hundreds of thousands of government workers if the budget cuts go through, as widely expected.
The President did not mention the budget stalemate during a White House dinner with most of the governors on Sunday night.