A method for spreading a textile sheet where the sheet is caused to run between at least two rotary rollers, the axes of which extend parallel to each other and substantially perpendicular to the running direction of sheet. The sheet under pressure is caused to pass between at least one pressure generator of the rollers driven into axial oscillation and in phase opposition. At least one pressure generator of the rollers has adjustable pressure values along the generator in order to spread the sheet with a low thickness variability.