Addition of a viscoelastic material based on silanols cured by boron oxide was used to delay sharkskin and stick-slip instabilities in extrusion of linear low-density polyethylene ( LLDPE). Delay of flow instabilities to rates of extrusion 25-35 times higher than without additive and about 40% less extrusion pressure at the same throughput are achieved by the use of this material as an additive (similar to 0.1%) to LLDPE or as a coating of the extrusion die. Mechanical properties of the lubricant were changed by small variations of composition to investigate the impact of elasticity on lubrication and sharkskin delay. Both lubrication and sharkskin delay were considerably improved when more elastic lubricants were used while the chemical composition of the lubricants was nearly the same. Filling the lubricants with powders of metal oxides or especially particulates having plate-like particles (kaolin, mica, BN) helped to delay the flow instabilities further to even higher throughputs. Together with experimental results, we present a tentative explanation for the importance of elasticity of polymer processing aids in the delay of sharkskin and the stabilization of slip.