McConnell added that he hoped that the government would be funded at sequester spending levels.
"I'm also confident that we'll be able to announce we're broking the government spending reductions that both parties agreed to under the Budget Control Act," he said.
McConnell concluded by saying that the GOP fight to defund the health care law is not over, but for today he is focused on funding the government.
"For today, the relief we hope for is to reopen the government, avoid default and protect the historic cuts we achieved under the Budget Control Act.," McConnell said. "This is far less than many of us had hoped for, frankly. But it's far better than what some had sought. Now it's time for Republicans to unite behind other crucial goals."