It is not clear how many people are behind the current letter or what their ranks are - and their anonymity is likely to due to the backlash faced by the authors of the previous letter, with 18 officers who signed the letter facing disciplinary action.
In contrast to the previous letter, it is also open to be signed by the public, with Valeurs Actuelles saying more than 93,000 had done so by Monday morning.
'We are not talking about extending your mandates or conquering others. We are talking about the survival of our country, the survival of your country,' said the letter, which was addressed to Macron and his cabinet.
The authors described themselves as active-duty soldiers from the younger generation of the military, a so-called 'generation of fire' that had seen active service.
'They have offered up their lives to destroy the Islamism that you have made concessions to on our soil.'
They claimed also to have served in the Sentinelle security operation within France launched after a wave of jihadist attacks in 2015.
They observed that for some religious communities 'France means nothing but an object of sarcasm, contempt or even hatred'.
It added: 'If a civil war breaks out, the military will maintain order on its own soil... civil war is brewing in France and you know it perfectly well.'