Sen. Lindsey GrahamLindsey GrahamOvernight Defense: Trump nominates Air Force secretary | Tillerson gains support Rubio to vote for Tillerson Top Dem comes out against Tillerson ahead of key vote MORE (R-S.C.) gave a preview Sunday of what he believes will — and won't —make it through the lame-duck session.

Appearing on "Fox News Sunday," Graham stood with fellow Armed Services Committee member Sen. John McCainJohn McCainOvernight Defense: Trump nominates Air Force secretary | Tillerson gains support McCain: Trump's withdrawal from TPP a 'serious mistake' Trump signs executive actions on TPP, abortion, federal hiring freeze MORE (R-Ariz.), who said two weeks ago that studies into "Don't ask, don't tell" should focus on how lifting the policy would affect troop morale and not just how the military could implement a repeal.

Thus, repealing the ban on gays serving openly in the military, he said, is "not going anywhere."

"I don't believe there's anywhere near the votes to repeal 'Don't ask, don't tell' on the Republican side," Graham said. "I think we'll be united in lame-duck."

On extending the Bush-era tax cuts, which is likely to be the most pressing order of business when the Senate reconvenes, Graham predicted a bipartisan lame-duck vote to extend all of the tax cuts for two or three years.

Also on Fox, Sen. Claire McCaskillClaire McCaskillWashington Post reporter compares DC rioters to Boston Tea Party Dem senator: Violent inauguration protesters ‘disgusting’ Five things to watch for in Mnuchin hearing MORE (D-Mo.) said she would support raising the upper-income-level limit to a million dollars. "I think we should draw the line in the sand for millionaires," she said, decrying that "the middle class could be held hostage" by the extended tax debate.

On the DREAM Act, which Senate Majority Leader Harry ReidHarry ReidFranken emerges as liberal force in hearings GOP eyes new push to break up California court The DC bubble is strangling the DNC MORE (D-Nev.) promised during the campaign that he would bring up in the lame-duck session, Graham predicted no chance of success.

"If we bring up the DREAM Act in the lame-duck that's going nowhere," Graham said.