The federal government says it won't bring on the backpacker tax bill for another vote in the Senate until it can get a "clear commitment" it will pass at a rate of 15 per cent.
Treasurer Scott Morrison said the government remained one vote short of a majority for the compromise, which was originally to be 32.5 per cent but modified to 19 per cent and then 15 per cent after consultation.
"Unless we can get a clear commitment on 15 per cent then the bill will remain in the house" he said.
Liberal Democrats senator David Leyonhjelm said he would support the 15 per cent rate when it came to a vote.
Senator Leyonhjelm told AAP he had negotiated with the treasurer for the list of farmers and tourism operators who hire backpackers not to be published on the Australian business register.
He said he had concerns the list could be misused.
It is also understood the tax office would be prevented from sharing individual taxpayer details with the Fair Work Ombudsman.
Crossbench senator Derryn Hinch, who voted against the government on its rate, shifted his position later saying he'd support an alternative between 10.5 and 15 per cent.
He categorically ruled out backing the government's 15 per cent if it came to another vote.
"They can come back to me with another idea - if they come up with another figure I'll have a look at it," he told AAP.
