Peers are debating former Labour Lord Chancellor Lord Falconer's assisted dying bill.
The Bill proposes allowing doctors to give a lethal dose to terminally ill patients judged to have less than six months to live.
A survey conducted for ITV's Tonight programme found 70% would support allowing assisted dying under the framework outlined by the Assisted Dying Bill.
Former Archbishop of Canterbury Lord Carey has said he changed his views on assisted dying after being inspired by the case of locked-in syndrome sufferer Tony Nicklinson.
Mr Nicklinson battled for seven years to have the right to end his own life but it was refused and he died naturally aged 58 in 2012.
Writing in the Daily Mail, Lord Carey said: "It was the case of Tony Nicklinson that exerted the deepest influence on me,"
"Here was a dignified man making a simple appeal for mercy, begging that the law allow him to die in peace, supported by his family.
"His distress made me question my motives in previous debates. Had I been putting doctrine before compassion, dogma before human dignity?"
Ahead of tomorrow's Lords debate on assisted peers, Tonight speaks to those arguing passionately for and against the Bill.
Chris Woodhead, the ex-Ofsted chief who suffers from motor neurone disease, has made an emotional call for assisted dying to be legalised.
Lord Falconer insists his Bill will provide clarity to fix Britain's "broken" laws around assisted death whilst protecting the vulnerable.