Experts say the move clears a major hurdle that would allow the Social Democratic leadership to sell a deal to the party faithful, who will get the final say in a membership ballot.
"The national minimum wage has huge symbolic value," said Nils Diederich, a political scientist at Berlin's Free University who sat in the Bundestag for the Social Democrats for 16 years.
"The party had pinned itself to the issue and it needs this victory in order to send a message to young people," he said.
The Social Democrats won 25.7 percent of the vote in the Sept. 22 election, far behind the 41.5 percent that Merkel's bloc received.
Diederich predicted that coalition talks could be wrapped up by early next week.
Merkel, too, indicated that a deal could be done in the coming days, provided the Social Democrats drop their demands for tax increases.
One of the biggest remaining issues concerns the question of dual citizenship for people born in Germany who also hold a passport from a non-European Union country. Merkel's Christian Democratic Union and its Bavarian sister party, the Christian Social Union, have long opposed granting dual citizenship to the children of Turkish immigrants, saying they have to choose between loyalty to Berlin or Ankara.