The news network cited a source with knowledge of the case. Neither the lawyers nor prosecutors could immediately be reached for comment.
The case against Strauss-Kahn suffered a major blow last week when prosecutors cast doubt on the credibility of the maid at the luxury Manhattan hotel who accused Strauss-Kahn of assaulting and attempting to rape her on May 14.
Last week Strauss-Kahn — a prominent French politician once seen as in line for the presidency — was released from house arrest after prosecutors disclosed their doubts about the Guinean-born maid.
US media have since reported that prosecutors plan to drop the charges.
On Tuesday a French writer filed a complaint alleging that Strauss-Kahn attempted to rape her about eight years ago, indicating he could face further legal woes if and when he returns to France.
Strauss-Kahn resigned from the International Monetary Fund in May to battle the US charges, leading to a change in leadership at the global lender during the Greek debt crisis threatening the eurozone.
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