NEW YORK (CNNMoney.com) - Marlboro smokers from New York State have sued Philip Morris on Thursday, demanding that the tobacco giant pay for CT-scans to detect early-stage lung cancer, said the law firm that filed the federal suit.

The suit, filed by smokers who are at risk for cancer but have not been diagnosed, does not seek monetary damages from Philip Morris, according to the plaintiff firm Levy Phillips & Konisberg. Instead, the plaintiffs want the company to pay for annual Low Dose Cat Scans, also known as LDCS, which are generally not covered by health insurance.

Mike York, independent spokesman for Philip Morris parent Altria Group Inc. (down $0.55 to $75.41, Research), said he had not seen a copy of the lawsuit, but said the company successfully defended itself against two similar lawsuits in state court, in West Virginia in 2001 and Louisiana in 2004. York said claims were rejected in both these cases, which demanded medical monitoring with CT-scans.

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To read about Altria's recent legal battle, click here.