A peelable sheath includes a sheath formed of a flexible tube having a pair of separation lines arranged longitudinally on radially opposite sides of the tube to form a pair of peelable sheath portions, and a hub connector bonded to the proximal end of the sheath. A pair of wings are bonded to the proximal end of the sheath to faciliate separation. The hub connector and sheath are bonded by a web extending axially from a shoulder of the hub connector and including a pair of web tabs arranged on radially opposite sides of the hub connector. The web tabs are bonded to the sheath across respective separation lines, thereby preventing premature separation of the peelable sheath portions. The web also includes a pair of web support struts, arranged on radially opposite sides of the hub and rotated about 90.degree. relative to the web tabs, that are bonded to the respective wings to prevent premature separation of the hub connector from the sheath.