The 83-year-old creator of Childline, who is suffering from stage four lung cancer, disclosed in December that she had become a member of the Swiss assisted-dying clinic Dignitas.
She called it “not right” and “not ethical” that her family may face legal action under UK law if they assisted her in traveling to Zurich.
More than 200,000 people signed a petition supporting Dame Esther calling for a discussion on assisted suicide, which prompted Monday’s meeting in Westminster Hall.
Prior to the debate, a number of prominent personalities and celebrities are expected to congregate outside Parliament.