The proposal to cut or eliminate the personal property tax for Indiana business may be put on hold.
Senate Appropriations Chairman Luke Kenley of Noblesville said Tuesday that the issue might be too complicated for this year's short legislative session.
Alternatives from Senate and House Republicans have been proposed.
Opponents have said it would hurt local governments and a group of mayors have formed a coalition to oppose the measure.
They say that it could cost local governments close to $1 billion in tax revenue.
It is possible that the idea will wind up in a legislative summer study committee.