Method of producing vinyllactam copolymers by free-radical polymerization of at least one water-soluble N-vinyllactam and at least one hydrophobic comonomer in an organic solvent in the presence of an initiator under reflux conditions, where following conversion of 90 to 99% by weight of the vinyllactam used, some of the solvent is distilled off and the polymerization is continued.
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