The shadow home secretary Yvette Cooper has said reform is needed to ensure that Britain has "properly managed migration.
During a speech at the Institute for Public Policy Research, Mrs Cooper denied that for Labour to discuss immigration "is a move to the right"
Instead she insisted that a "serious debate" is needed to ensure that it is "properly controlled".
"As Ed Miliband has said a One Nation immigration policy needs to work for all. That means an honest and open debate. It means admitting where we got things wrong and changing.
"It is because immigration is so important for Britain’s future that we need a fair, controlled system that people can support", she concluded.
More top news
June and Barry Steenkamp said they had to accept the judge's decision but still did not believe Pistorius' version of events.
Fifteen British WW1 soldiers will be reinterred at the Commonwealth War Graves Commission cemetery today, 100 years after their deaths.
Unresolved complaints about energy suppliers could be five times higher than official figures suggest, according to Labour.