After it leaves the finance committee, it is supposed to be before the full Senate for a second day, at which point senators could suggest amendments. Final approval would come on the third day.
While, the second and third readings are supposed to happen on two different days, Prezioso thinks senators could suspend the rules and take a final vote on Friday.
That makes Unger a little uncomfortable. Although he voted against the measure as a member of the education committee, he said "railroading" any bill through the Senate deprives some people of the chance to suggest changes.
Senators who don't serve on the education or finance committees may want to make changes. Moving too quickly would be unfair to those people, Unger said.
"I would say that people ought to have every right if they want to make amendments to put it up there," he said.
He said he's not opposed to expediting a bill as long as everyone has the chance to propose changes. While he didn't know of anyone who wanted to suggest an amendment, Unger said it was part of his job as majority leader to make sure everyone has a fair shot at having their ideas heard.
With nearly half the session gone, Prezioso thinks it's time for the House to start to deal with the bill.
"We've had it over here for 30 days now, half the session. Let's get it on the other side and let them have it. That's just my opinion. That's my best guess," he said.
Teachers unions believe the Senate will approve the bill. After Tuesday's education committee meeting, leaders of the state chapter of the American Federation of Teachers and the West Virginia Education Association both said they would start fighting the bill in the House.
The Senate Finance Committee will meet at 9:30 a.m. today.