An expandable medical sheath comprising: a sheath body having an inner surface and an outer surface, the inner surface defining a lumen that extends between proximal and distal ends of the sheath; and first and second members, each disposed between the inner and outer surfaces of the sheath and each extending between the proximal and distal ends of the sheath, the first member comprising a first material and the second member comprising a second material, wherein the sheath is expandable from an unexpanded state to an expanded state to allow the passage of a portion of a medical device through the lumen, the portion of the medical device having a transverse cross-sectional area larger than a transverse cross-sectional area of the lumen when the sheath is in the unexpanded state, the sheath body terminates with a flexible tip, the tip comprising a proximal end, a distal end, an outer surface, an inner surface and a wall, the inner surface of the tip defines an opening with an inner diameter and the outer surface of the tip has an outer diameter, the inner surface of the tip is tapered such that the inner diameter of the tip is larger at the proximal end of the tip than at the distal end of the tip, and the outer surface of the tip is also tapered towards the distal end of the tip such that the outer diameter of the tip is larger at the proximal end of the tip than at the distal end of the tip, characterized in that the proximal end of the tip is coupled to the distal end of the sheath body such that the lumen of the sheath body and the opening of the tip are seamlessly in communication with each other, and the tapered inner and outer surfaces (248, 249) of the tip result in thinning of the wall of the tip towards the distal end of the tip. a sheath body having an inner surface and an outer surface, the inner surface defining a lumen that extends between proximal and distal ends of the sheath; and first and second members, each disposed between the inner and outer surfaces of the sheath and each extending between the proximal and distal ends of the sheath, the first member comprising a first material and the second member comprising a second material, wherein the sheath is expandable from an unexpanded state to an expanded state to allow the passage of a portion of a medical device through the lumen, the portion of the medical device having a transverse cross-sectional area larger than a transverse cross-sectional area of the lumen when the sheath is in the unexpanded state, the sheath body terminates with a flexible tip, the tip comprising a proximal end, a distal end, an outer surface, an inner surface and a wall, the inner surface of the tip defines an opening with an inner diameter and the outer surface of the tip has an outer diameter, the inner surface of the tip is tapered such that the inner diameter of the tip is larger at the proximal end of the tip than at the distal end of the tip, and the outer surface of the tip is also tapered towards the distal end of the tip such that the outer diameter of the tip is larger at the proximal end of the tip than at the distal end of the tip, the sheath is expandable from an unexpanded state to an expanded state to allow the passage of a portion of a medical device through the lumen, the portion of the medical device having a transverse cross-sectional area larger than a transverse cross-sectional area of the lumen when the sheath is in the unexpanded state, the sheath body terminates with a flexible tip, the tip comprising a proximal end, a distal end, an outer surface, an inner surface and a wall, the inner surface of the tip defines an opening with an inner diameter and the outer surface of the tip has an outer diameter, the inner surface of the tip is tapered such that the inner diameter of the tip is larger at the proximal end of the tip than at the distal end of the tip, and the outer surface of the tip is also tapered towards the distal end of the tip such that the outer diameter of the tip is larger at the proximal end of the tip than at the distal end of the tip, characterized in that the proximal end of the tip is coupled to the distal end of the sheath body such that the lumen of the sheath body and the opening of the tip are seamlessly in communication with each other, and the tapered inner and outer surfaces (248, 249) of the tip result in thinning of the wall of the tip towards the distal end of the tip. the proximal end of the tip is coupled to the distal end of the sheath body such that the lumen of the sheath body and the opening of the tip are seamlessly in communication with each other, and the tapered inner and outer surfaces (248, 249) of the tip result in thinning of the wall of the tip towards the distal end of the tip.