A party leader said Shah would deliver his speech in the Upper House on the proposed legislation, which sought to replace an ordinance issued in September to give effect to certain decisions of the GST Council.
The bill may come up for a discussion in a day or two, the BJP leader, who did not wish to be named, said.
The ongoing Monsoon Session of Parliament is scheduled to conclude on Friday. Shah had made his maiden entry to Parliament during the session as a Rajya Sabha member.
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