A stent with a selectively covered end region. The stent includes a radially expandable tubular framework and a covering surrounding the tubular framework. The covering includes a skirt surrounding a distal end region of the tubular framework which is selectively removable from the distal end region of the tubular framework to expose the distal end region of the tubular framework to permit hyperplastic tissue ingrowth through the distal end region of the tubular framework. For example, the skirt may be folded, rolled, collapsed, or separated from the remainder of the covering to expose the distal end region of the tubular framework.