According to The Sun, Strauss and Flower will take the players away after the ODI series against Pakistan.
The camp has been designed to let the team management assess borderline players before the squad for Australia is announced on September 30.
The exact location of the camp has not been revealed, but the players have been told to keep September 24-28 clear.
The first of the five Ashes Tests will be held at The Gabba in Brisbane from November 25 to 29.
It will be followed by Tests in Adelaide, Perth, Melbourne and Sydney.
Two Twenty20 clashes and a seven-match one-day series have also been scheduled between Australia and England.