He said union members had repeatedly called lawmakers around the state to muster support.
"To be calling lawmakers in that way is at least pushing up to that line."
Mr. Miller said he expected to call lawmakers back to Albany next month, when the Senate is already scheduled to return.
Under usual procedures only the President can call lawmakers back to Washington.
Governor Pataki has already said he may have to call lawmakers back to Albany to deal with problems arising from the bill.
On the morning of the House vote, he was on the telephone in his committee's library calling lawmakers and lining up their votes.
But he seemed to understand its limits, using his remarks less to recommend specific measures than to call lawmakers to certain general concerns.
The Governor called lawmakers into special session this week to repeal the landmark billion-dollar tax he championed as recently as last month.
Some Republicans wanted to call lawmakers back to lend clear-cut support for Mr. Bush's policies.
The movement toward the deal began several weeks ago, when Mr. Nelson began calling lawmakers he thought would be interested in a compromise.