Last week, House Republicans passed H.J.Res. 59, which would keep the government funded through Dec. 15 at the current $986 billion spending rate, rather than the lower $967 billion level called for in the 2011 Budget Control Act. It also defunds ObamaCare. Sessions said he supports defunding of ObamaCare but did not like the spending level in the House measure.

The Senate is expected to advance that legislation later today, but only after adding an amendment that restores ObamaCare funding and moves the funding date to Nov. 15.

Before final passage, the Senate will have to vote to waive a budget point of order. Sessions, the ranking member on the Senate Budget Committee, said he will not support that waiver.

“I can’t support it,” Sessions said. “We need the House, when they send a bill back over here, it needs to be at the budget level.”

Democrats argued that the resolution should completely replace sequestration — created by the Budget Control Act.

The government will shut down Oct. 1 if Congress doesn't approve some a government funding measure.

The Senate is expected to send the funding bill back to the House this weekend. The House would then have to accept the Senate changes or risk a government shutdown as time runs out.