Ruth Coppinger says she will try to get rid of the 72-hour waiting period for women seeking an abortion when the bill comes to the Dáil.
The cabinet is considering a timeline for enacting legislation after the historic vote at the weekend.
A number of TDs who campaigned for a no vote have said they will not oppose the legislation after the landslide result.
Solidarity TD Ruth Coppinger (pictured) campaigned for a yes vote, but says there are still amendments she wants to see to the legislation.
"People will want to make amendments, I want to make some amendments potentially when I see it. I have some in my mind right now," she said.