"The prime minister will be in Brussels tomorrow with the Greek proposal in his luggage," the official said.
Tsipras, who has vowed not to surrender to more austerity, tried to pre-empt a take-it-or-leave-it offer by the creditors, sending what he called a comprehensive reform proposal to Brussels on Monday before they could complete their version.
Euro zone officials branded the Greek text insufficient and said it was not formally on the table.
The Greek leader faces a backlash from his own supporters if he has to accept cuts in pensions and job protection to avert a default and keep Greece in the euro zone.
Despite defiant rhetoric and face-saving efforts, he seems likely to have to swallow painful pension and labor reforms, facing the choice between putting them to parliament at the risk of a revolt in his Syriza party, or calling a snap referendum.
Read MoreGreek crisis: 2,400 hours of brinkmanship
Starved of aid and access to bond markets, Athens is precipitously close to running out of money. It has threatened to default on an IMF payment this week without a deal, though it also says it will reject any ultimatums.
Failure to reach agreement this month could trigger a Greek default and lead to the imposition of capital controls and a potential exit from the euro zone, dealing a serious blow to Europe's supposedly irreversible single currency.
The euro zone source said the Greek document contained no significant concessions on the main outstanding issues of pension and labor market reform, fiscal targets and the size of the civil service.
The European Union's economics chief said earlier Athens had put forward first proposals for pension reform as the talks reach a crunch point this week with Greek funds drying up.
The chairman of euro zone finance ministers, Jeroen Dijsselbloem, who was not at the Berlin meeting, said there were growing indications that Greece wanted a deal, but that required the Greek government to tell its voters the truth, that it will not be able to deliver on all its election promises.
"There are signs that Greece and Tsipras are motivated to achieve a breakthrough," Dijsselbloem told RTL Nieuws. "We aren't far enough along and time is pressing."
Read MoreGreek talks 'progressing'…so where's the deal?
"The bottom line is that we are not going to meet them halfway," he said. "The package as a whole must make sense in budgetary terms."
The Berlin meeting showed that national and international leaders have taken the battle to keep Greece in the euro zone into their own hands after months of insisting it was a matter for technical negotiations among experts.
A Greek government official said Athens would make a 300 million euro ($329.58 million) repayment to the IMF on Friday as due if there was an agreement with the creditors, hinting it might otherwise withhold the money without saying so explicitly.