The invention provides uncharged water-soluble silica-adsorbing polymers for suppressing electroendoosmotic flow and to reduce analyte-wall interactions in capillary electrophoresis. In one aspect of the invention, one or more of such polymers are employed as components of a separation medium for the separation of biomolecules, such as polynucleotides, polysaccharides, proteins, and the like, by capillary electrophoresis. Generally, such polymers are characterized by (i) water solubility over the temperature range between about 20 C. to about 50 C., (ii) concentration in a separation medium in the range between about 0.001% to about 10% (weight/volume), (iii) molecular weight in the range of about 510³ to about 110⁶ daltons, and (iv) absence of charged groups in an aqueous medium having pH in the range of about 6 to about 9. In one embodiment, polymers of the invention are selected from the group consisting of polylactams, such as polyvinylpyrrolidone; N,N-disubstituted polyacrylamides; and N-substituted polyacrylamides. In accordance with the method of the invention, a sufficient amount of polymer adsorbs to the capillary surface to establish a zone of high viscosity that shields the analyte from the wall and impedes the movement of an electrical double layer under an electric field.