The notice among other things says that provision of Lokayukta will be applicable in those states where the legislature adopts a resolution to that effect.
The amendment seeks to address concerns of Mamata Banerjee and some opposition parties.
The development also signifies that the Government is toying with the idea of bringing the Bill in the Upper House before the Budget Session concludes on Tuesday.
However, the order paper for tomorrow does not have the Lokpal bill on the agenda paper.
"A decision will be taken tomorrow", a Union minister involved in the process said.
The absence of consensus on key provisions of the legislation including the one dealing with Lokpal's superintendence over CBI may pose difficulties for the government in pushing it. The bill has already been passed by the Lok Sabha.