Polymers that have limiting viscosities, measured in tetrahydrofuran at 20° C., of at least about 200 mL/g and that can be made by addition polymerization of a mixture of monomers containing: A. from 100—about 30 wt % of esters of acrylic acid and methacrylic acid with monohydric saturated aliphatic alcohols which contain from 1-22 C atoms; and B. up to about 70 wt % of monomers selected from the group consisting of: (1) unsaturated aliphatic carboxylic acids with 3-5 C atoms and their amides, (2) styrene and alkylstyrenes with 1-4 C atoms in their alkyl residues, (3) acrylonitrile, (4) vinyl esters of aliphatic C1-18 carboxylic acids, and (5) amino substituted esters of acrylic acid and methacrylic acid with monohydric alcohols having from 2-6 carbon atoms are highly effective anti-sling additives for textile lubricants.