Mesothelioma Lawsuit Deadline A successful mesothelioma claim can allow asbestos patients to receive compensation for their injuries. Lawsuit deadlines, also known as statutes of limitations, vary according to state and type of claim. Since mesothelioma can take decades to manifest, courts have their own rules on how they interpret statutes of limitation laws. A mesothelioma lawyer can provide the laws in each state. Statute of limitations Mesothelioma lawyers must ensure that victims and their families that they file their lawsuits within ap