A seamless compression article is knitted on a flatbed knitting machine having a front needle bed and a rear needle bed opposite thereto. The compression article includes a base structure of at least one weft thread, at least one elastic warp thread inserted or knitted therein, and at least one tubular or pocket-like receptacle extending along a longitudinal direction for at least one finger or at least one toe of a wearer of the compression article and can be placed on a body extremity of the wearer extending in the longitudinal direction. The receptacle includes a number of rib-like elevations, which run substantially parallel to each other and along the longitudinal direction of the corresponding receptacle. Putting on the compression article can thereby be facilitated.