Following the publication of a review into Prevent's handling of Southport child killer Axel Rudakubana earlier this month, Mr Jarvis said a Prevent learning review into Sir David's killing would be released this week in a commitment to transparency over the anti-terror programme.
Ms Amess said she believes if the Southport attack had not happened, the review into Prevent's handling of her father's killer would never have been released into the public domain.
A "problematic" assessment of MP Sir David Amess's killer led to "questionable decision-making" and the "suboptimal" handling of his Prevent case, a review has found.
Sir David's daughter, Katie Amess, 39, welcomed the announcement but said every victim failed by Prevent deserves an inquiry, not just the Southport victims.
"We potentially wouldn't be in the same situation today with repeat failings of Prevent had somebody had just listened to me back when it [her father's killing] happened and launched a full public inquiry," she told LBC.