Germany's largest lender said about two weeks ago it would fight a $14 billion (£10.80 billion) demand from the U.S. Department of Justice to settle claims it missold the securities.
An agreement could be announced in the next couple of days, a person familiar with the matter told AFP.
The final amount of the settlement could be slightly different, the source said. (http://yhoo.it/2dfHX74)
Deutsche Bank and DoJ officials declined to comment.
The bank's U.S.-listed shares
Deutsche Bank's Frankfurt-listed shares closed 6.4 percent higher at 11.57 euros after the AFP story emerged.
(Reporting by Sruthi Shankar in Bengaluru; Editing by Ted Kerr)