Former Labour Prime Minister Gordon Brown told Radio 4 he wanted to see more debate on the issue, saying “life is a gift” and he urged MPs to vote against the bill.
Speaking on Sunday with Laura Kuenssberg, Kendall said: “I think you should have the right to choose.
“The point is not that this is for everybody.”
Kendall, who is a long-time advocate of assisted dying, called the debate on the bill part of a “bigger” national discussion as more people “have longer deaths”.
Her comments came as 29 faith leaders representing Christians, Muslims, Jews, Hindus and Sikhs signed an open letter in The Telegraph warning the Terminally Ill Adults (End of Life) Bill, would lead to people being pressured into ending their lives to avoid burdening families or the NHS.
MPs will get a free vote on Friday on the bill – introduced by Labour MP Kim Leadbeater – meaning they can follow their conscience rather than party orders.