Oklahoma Governor Mary Fallin is one of six governors who met with President Obama today to discuss the fiscal cliff.
Obama met three governors from each party to discuss his plan.
The other governors were Jack Markell (D-Del.), Mike Beebe (D-Ark.), Mark Dayton (D-Minn.), Gary Herbert (R-Utah), and Scott Walker (R-Wis.).
The meeting comes just hours after Obama rejected a Republican counteroffer aimed at averting the "fiscal cliff," saying it does not meet what the White House calls "the test of balance."
White House communications director Dan Pfeiffer says the GOP proposal would lower tax rates for the wealthy and stick the middle class with the bill. He says the plan includes nothing new and provides no details on how it would achieve higher revenues.
The House Republican plan calls for $800 billion in higher tax revenue over 10 years. But it would keep the Bush-era tax cuts in place for all income earners.
Obama has insisted there can be no deal unless Republicans agree to end the tax cuts for families making more than $250,000 a year when they expire in January.
The proposal from House Speaker John Boehner, R-Ohio, and other Republicans comes in response to Obama's offer last week to hike taxes by $1.6 trillion over the coming decade but largely exempt Medicare and Social Security from budget cuts.
The Associated Press contributed to this story.