In view of the persistently high number of corona infections, the countries want to extend the partial lockdown until December 20.
The prime ministers agreed on this in a switching conference on Monday evening.
A final decision should be made at the deliberations of the federal and state governments on Wednesday.
If the partial lockdown is extended, restaurants as well as leisure and cultural facilities that have been closed since the beginning of November will remain closed.
With the extension of the measures, the continued high contagion numbers are to be suppressed.
The deliberations of the Prime Ministers lasted 4.5 hours.
Participants spoke of good advice.
On Tuesday there will be renewed consultations between the heads of the state chancelleries and the head of the chancellery, Helge Braun (CDU).
The federal government had already promised to extend the November aid to support the companies affected by closings, as well as self-employed individuals and artists, if the partial lockdown is extended.
This is likely to cost billions more.
At the weekend, politicians from the federal and state levels had already prepared the citizens for an extension of the contact restrictions that initially apply until the end of November.
Despite Corona - so the anticipation for Christmas increases
Not only Christmas, but also the Advent season will be very different this year than usual. But there are a few tricks how to look forward to Christmas despite the pandemic.
Source: WELT / Fanny Fee Werther
Saxony-Anhalt's Prime Minister Reiner Haseloff (CDU) underlined on Monday that the heads of government of the states agreed that there was no time for easing: "We are therefore advocating an extension of the partial lockdown."
Also under discussion were stricter contact restrictions for private meetings and possibly an expanded mask requirement in schools.
Like Haseloff, Mecklenburg-Western Pomerania's Prime Minister Manuela Schwesig (SPD) campaigned for the contact restrictions on Christmas days and at the turn of the year to be relaxed.