As the next showdown over raising the debt ceiling approaches, one of the Senate's leading conservatives is suggesting Republicans won't risk shutting down the government.

GOP_Convention_0f58a-282_image_1024w Sen. Mike Lee (R-Utah) (AP Photo/Rick Bowmer)

Appealing on "Fox News Sunday," Sen. Mike Lee (R-Utah) said Republicans will insist that Obamacare is defunded. But he said the government will be funded one way or another.

"We all know that the government's going to get funded," Lee said. "The question is whether the government gets funded with Obamacare or without it."

The risk of a shutdown has been a pretty major bargaining chip for Republicans in past debt ceiling debates, as the party has suggested it might allow a shutdown if it doesn't get the spending cuts it wants.

Lee has suggested in recent days that he would threaten a shutdown if Obamacare is not defunded as a part of the debt ceiling deal, but some Republicans are dismissing the effort.