The current Home Secretary came top in the survey
Labour activists back Alan Johnson to be Labour leader were Gordon Brown to stand down, according to a survey of Labour Party activists.
He was backed by 32% of Labour councillors, in the survey, with Jon Cruddas in second place (18%) and 12% of councillors backing David Miliband.
But the majority of those councillors surveyed thought that replacing Gordon Brown before the next election would either make the party's electoral prospects worse (25%) or make no difference (36%).
The survey was conducted for BBC2's Daily Politics programme by ComRes who interviewed 321 Labour councillors in England and Wales by online surveys between September 2 and 24.
Who should lead the Labour Party?
It also found the majority of Labour Party activists (53%) believe the recent expenses scandal will harm their electoral prospects, compared with 36% who think it will not.
Just less than a third (31%) of those councillors surveyed felt the Labour Party's prospects would improve if they changed their leader.
Q1. Do you think your party's role in the MPs expenses scandal has damaged you locally in terms of your MPs' or candidates' chances of being elected?
Don't know 11%
Q2. If Labour were to change leader before the next election what if anything do you think it would mean for the party's electoral prospects?
Stay the same 36%
Get worse 25%
Don't know 7%
Q3. If Gordon Brown were to stand down as Labour leader who would you prefer to take over?
Andy Burnham 2%
Jon Cruddas 18%
Harriet Harman 5%
Alan Johnson 32%
David Miliband 12%
James Purnell 1%
Jack Straw 2%
Hazel Blears 0%
Tony Blair 2%
None of these 15%
Don't know 10%
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