Sen. Lindsey Graham (R-S.C.) suggested Tuesday he might be open to agreeing to a temporary extension of tax cuts.

Graham said he would be open to a deal that would extend tax cuts on all income brackets for the next few years as a way to reach a temporary compromise to prevent rates from springing upward next year.

"Yeah," Graham said on Fox News when asked if he'd be open to a compromise. "I think three years would do us well."

The South Carolina senator, like other Republicans, favors extending the expiring tax cuts for all income brackets. But other GOP leaders have largely sought to make the 2010 tax rates permanent, which would reduce revenues to the government by $700 billion during the next 10 years.

Many Democrats, led by President Obama, by contrast favor extending most of the cuts while letting the breaks expire for households earning more than $250,000 per year and individuals making more than $200,000.

Some Democrats have broken with their leadership, though, to support a permanent or temporary extension of the tax cuts. Five Democratic senators are on the record as backing at least a temporary extension, a fact mentioned by Graham and other top Republicans on Tuesday.

On the House side, Rep. Chris Van Hollen (D-Md.), a member of the leadership team who heads House Democrats' campaign efforts, suggested a temporary extension could be on the table.

Graham said he'd be open to such a compromise in order to secure an extension of the tax cuts, though he didn't say he would necessarily want taxes to rise on some income bracket.