Senate Minority Leader Mitch McConnell (R-Ky.) said Tuesday that congressional Republicans will coalesce behind one plan to cut government spending.

McConnell's prediction comes amid major differences between GOP lawmakers in the House and Senate. For example, House Republican leaders, including Budget Committee Chairman Paul Ryan (R-Wis.), have unveiled a blueprint that would cut government spending this fiscal year by $32 billion.

McConnell's Kentucky colleague, Sen. Rand Paul (R-Ky.), ripped that plan as inadequate, advocating for $500 billion in cuts. McConnell, who did not back Paul in the GOP primary last year, said he will embrace what emerges from the GOP-led House.

In an interview with WLW Radio on Tuesday, McConnell said, "Senate Republicans are going to unify around whatever reduction they can get out of the House."

The Senate minority leader said he will try to convince Senate Democrats up for reelection to defect from their leaders and vote for the GOP's spending reduction bill.

"We'll... try to entice enough of the 23 Democrats who are up in '12 over to us so maybe we can put something on the president's desk," he said.

Senate Majority Leader Harry Reid (D-Nev.) has called Ryan's plan "draconian."

Meanwhile, Senate Budget Committee Chairman Kent Conrad (D-N.D.) said Ryan's blueprint does not do enough to attack the nation's deficit.