An introducer assembly includes a sheath and a dilator. A biodegradable shroud covers the distal portion of the introducer assembly on the surface of both the sheath and the dilator. The biodegradable shroud dissolves in blood after being exposed for a predetermined time. Afterwards, the dilator can be separated from the sheath without breaking the sheath. The shroud improves movement of the introducer assembly through a venous system by preventing body tissue from getting caught in the space between the dilator and the shroud, for example should a “fish mouth” separation occur between them.