Court system spokesman David Bookstaver says the decision will be posted online at 10 a.m. EDT Tuesday. The ruling initially had been expected this week.
Bronx state Supreme Court Justice Douglas McKeon is making the ruling.
The housekeeper says Strauss-Kahn tried to rape her in his Manhattan hotel suite last May. The former International Monetary Fund leader has denied doing anything violent in their encounter.
Prosecutors dropped related criminal charges last summer.
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