TERRITORY Senator Trish Crossin will push for a Senate inquiry in to the nuclear waste facility when the Commonwealth Radioactive Waste Management Bill is tabled in the Upper House today.

The House of Representatives passed the bill last week and it now moves to the Senate to be tabled and debated.

The ALP senator hopes to have the support of minor parties -- including Family First's Steven Fielding -- in order to get the bill investigated by a senate committee.

But Territory CLP Senator Nigel Scullion, who had not heard of Ms Crossin's plans yesterday, said he would have to consider it before agreeing to vote for an inquiry.

"I am not sure that an inquiry is needed," he said.

"The facts are well established and I am not sure what referring it to a committee would do."

Ms Crossin said evidence in Senate estimates hearings had highlighted contradictions and inconsistencies in the whole process surrounding the imposition of the radioactive waste storage facility on the Territory.

"These need a proper investigation before the Commonwealth assumes the powers in this Bill to steamroll any Territory objections to the dump," she said.

"We need a chance to have some in-depth analysis of this Bill and the whole issue of imposing the dump on the NT."

Ms Crossin said she was worried the Federal Government was rushing the nuclear waste Bill through.

She said she understood the Government wanted to have it sorted by Christmas.

"But if it goes to a committee we will get the information we need and that committee is likely to report back by March," she said.

"This overrides native title, environment and heritage laws and the implications of that need to be examined."

But Senator Scullion said if the Bill was to be passed with the Lower House amendments, the Territory Government and traditional owners would be able to negotiate with the Federal Government on the location of the waste facility.

"It would certainly be better to select a site based on its scientific amenity rather than (because it is) available Commonwealth land," he said.