The House passed the measure without her changes as part of a big tax bill.
The leaders hope to pass a measure in the next couple of days.
In the last two years, five other states, including California, have passed similar measures.
The Senate passed the measure a week ago by a vote of 48 to 30.
The Senate passed the measure by a vote of 32 to 4.
The House had just passed the measure on an 83-to-66 vote.
Efforts to pass similar measures are under way in more than 60 other places.
City voters passed the measure with 74 percent of the vote.
The Senate has passed a measure giving the agency $656 million for the current year.
The Senate passed the measure without debate earlier in the evening by voice vote.