A news conference is scheduled for 10 a.m. local time at the Brunswick Street clinic.
Medicare covers abortions in hospitals under restrictive conditions, requiring the approval of two doctors.
Dr. Henry Morgentaler offered the service at his clinic for a fee and in 2002, he sued the provincial government to force it to pay for the procedures.
The lawsuit has been in limbo since the death of the abortion rights activist last May.
Sarah Leblanc, of the Regroupement Feministe, a Moncton-based group that supports abortion rights, says if there's any change in the service the Morgentaler clinic offers, the provincial government must improve access in hospitals since abortions are legal.
"The bottom line is women have to be able to access that service of their own choice. It's the woman's decision. We have the right to decide what happens with our lives and our bodies," she said.
The Alward government has been content with the status quo of requiring two doctors to sign off on an abortion.
Liberal Leader Brian Gallant has called himself pro-choice, but has not said whether he would change the two-doctor policy.