Mayo Fianna Fáil TD Lisa Chambers says women both sides of the border should have equal access to abortion services.
The Health Minister Simon Harris has said that women in the North will be able to access abortion services here.
Speaking in Belfast yesterday Simon Harris says services will be available to all women on the island of Ireland once the legislation is introduced.
Unlike the rest of the UK, abortion remains illegal in the north unless the women's life is at risk or there is a serious danger to her mental or physical health.
Deputy Chambers insists there should be equal access to abortion services north and south.