JUNEAU -- House Majority Leader Alan Austerman says there's "very little support" among House lawmakers to suspend the Alaska motor fuels tax.

Hearings on the proposal have been canceled twice recently in the House Transportation Committee -- once because House floor session ran long. The Senate Transportation Committee is scheduled to hear the issue Tuesday, at the state transportation department's request

Since 2010, Gov. Sean Parnell has pitched a two-year suspension of the 8-cent-a-gallon tax as a way to ease the high fuel prices Alaskans pay. It has stalled every year.

Critics of the plan say the tax generates millions of dollars for roads, and cutting the tax doesn't guarantee that savings would be passed on to consumers.

Austerman says he doubts the bill will advance from committee on the House side.