Republican leaders in the Kansas Senate are growing increasingly frustrated at the lack of progress on a tax bill to balance the state’s budget, and talk about letting Republican Gov. Sam Brownback do it himself through “allotment” cuts is growing stronger.

The Associated Press reported Monday night that Brownback’s budget director Shawn Sullivan was in a private meeting with a handful of legislators, briefing them on what those allotment cuts would look like.

Both chambers have passed budget bills and sent them to the governor’s desk. Combined, those three bills — for K-12 education, the judiciary and the rest of state government — call for spending about $360 million more than the state expects to receive.

Sunday night, the Senate passed a massive tax package to raise about $423 million in new revenue. But that bill hit a brick wall in the House. Conservatives didn’t like that it dramatically slows down the “march to zero” on income taxes; moderates didn’t like the fact that it does not re-impose income taxes on more than 330,000 business owners.

And almost everybody in the House was skeptical of various other policy provisions such as imposing a property tax lid on cities and counties, putting a four-year sunset on a huge host of tax credit and exemption programs, and expanding a type of private school voucher program that was enacted last year.

A tax conference committee was scheduled to meet again at 4 p.m. But Senate Republican Leader Terry Bruce of Hutchinson told reporters that the Senate has no intention of voting on another tax package. He said passing the first one was difficult enough, and the Senate thinks it’s time for the House to state what its position is on taxes.

House Majority Leader Jene Vickrey of Louisburg said leaders there were still talking with small groups of House members, trying to discern what kind of bill they can accept. He said Brownback had been involved in some of those meetings.

One possibility being considered is to let Brownback sign the final budget bill, knowing that on July 1, when the new fiscal year begins, he will immediately begin cutting at least $360 million or so in order to bring spending in balance with current revenue projections.

A second option reportedly on the table would have the House pass the controversial Senate plan, and then follow that up with a “trailer” bill that would undo some of the more objectionable provisions.

The full House and Senate are scheduled to meet again at 2 p.m. Tuesday, which marks the 110th day of what was supposed to be a 90-day session, making 2015 the longest legislative session in Kansas history.