The European Central Bank has devised a bond-buying programme that will be acceptable to Germany, which has voiced reservations about the measure, magazine Der Spiegel has reported.
Germany has made no secret of its objections to a contested programme of so-called quantitative easing which the ECB is planning to help prevent the euro zone from slipping into deflation.
German government officials, as well as the head of the Bundesbank, Jens Weidmann, have repeatedly voiced concern about such a programme.
They believe it will take away the pressure on governments to push through essential, but painful, economic reforms. And taxpayers, particularly German ones, could end up footing the bill should another country be unable to repay its debt, the critics argue.
According to Der Spiegel, ECB chief Mario Draghi presented a scheme aimed at placating such concerns to Chancellor Angela Merkel and Finance Minister Wolfgang Schaeuble at a meeting on Wednesday.
Merkel's office confirmed a meeting took place but refused to reveal what was discussed.
The weekly, in a pre-released copy of a story to appear in Sunday's edition, said that under the revised scheme, the national central banks will only be allowed to buy the sovereign debt of their respective countries.
That means that each national central bank alone will carry the risk of a possible default by their government. And Germany, Europe's paymaster, will not have to bail out another country, the magazine said.
In addition, a ceiling of 20-25% will be set on how much a central bank can buy of a government's debt, Der Spiegel said, without revealing its sources.
Furthermore, crisis-hit Greece will not participate in the scheme because its sovereign debt does not fulfil the necessary quality criteria, the report said.
The ECB holds its first policy meeting of the year on Thursday and is widely expected to announce some sort of QE programme to try to kick-start the euro zone's sluggish economy.
Earlier an ECB board member said the central bank would decide on the scale of a planned sovereign debt purchase at next week's meeting.
This marked the clearest sign that the bank will launch the controversial stimulus measure.
"We will take the American and British experiences into account in order to determine the amount of debt to buy so as to reestablish confidence and bring inflation back to a level close to and lower than 2%," Benoit Coeure told French newspaper Liberation.
"We should also decide if the purchase would concern the debt of certain countries or if it should be balanced across the entire euro zone," said Coeure.
The ECB has been priming the markets for such purchases, with president Mario Draghi saying the bank had few other options at its disposal to counter the risk of deflation.
The central bank's mandate is to keep price inflation at just under 2%, but it fell to -0.2% in December, raising fears that the euro zone could fall into a cycle of damaging deflation where falling prices lead to job losses and lower output.
Coeure stressed that the aim of such a stimulus operation is to "ensure confidence in the capacity of the central bank to stabilise inflation".
The French ECB board member said that there is an increasing risk that "growth and inflation remain constantly weak, that we slump into an 'economy of 1% - growth at 1% and inflation at 1%".
"This prospect is sufficiently dangerous for us to be worried about," he said.
Touching on another burning question surrounding the bloc, the ECB board member said there is "no question of Greece leaving the euro" following January 25 elections which are feared to bring anti-austerity party Syriza to power.
"The stakes of the election are elsewhere, it's the composition of the cocktail of reforms that will allow this country to definitively exit the crisis and to further integrate with European economies," he said.
