The government is expected to give a private indication on Tuesday, and a historical report will be published on Friday, April 3.
BBC Home Affairs correspondent, Jon Silverman, says that £2m is probably the most the government will offer.
Lord Janner, Chairman of the Holocaust Educational Trust, says this would be unacceptable. He thinks Britain should set up a claims resolution procedure, like Switzerland.
"We, who stood alone against the Nazis, would be the only country in the world to stand against returning assets to the victims of Nazism.
"And, if by the end of the week we don't come out with a fair answer, it's going to be outrage all over the world," he said.
The government agreed to investigate the issue last year after the Holocaust Educational Trust published a 37-page report.
'Enemy assets' confiscated
The Trust says Britain used the wartime trading with the Enemy Act to seize control over bank accounts, assets and valuables worth £30m from the four enemy countries of Germany, Bulgaria, Romania and Hungary.
Many of the accounts are believed to have been opened by victims of the Holocaust, who sent their valuables abroad to countries like Britain and Switzerland because they were seen as safe havens.
But the money and assets were treated as enemy property.
No money was returned to Holocaust victims or their survivors until Christmas Eve 1948, when the British Government established an "ex gratia" scheme. But the Trust claims the conditions set out by the scheme were too tough for many claimants to meet.
Many victims received nothing and those who did received no interest on the cash. The government also charged a 2% handling fee, the Trust says.
The government's decision on whether to give compensation, and how much to give, could be critical to its relations with the British Jewish community.
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