A hub for a sheath, catheter, or other tubular device includes a tubular hub body including first and second ends, and a lumen extending therebetween and surrounding a central longitudinal axis, the lumen having a first cross-sectional area sized for receiving a medical device therethrough. A valve is secured within the lumen that includes an elastomeric valve body including a passage extending therethrough between front and rear surfaces thereof and offset from the central axis. The valve body defines a second cross-sectional area larger than the first cross-sectional area in a relaxed state in which the passage defines an oval shape, and is secured within the lumen in a compressed state in which the passage is compressed to a closed configuration for sealing the passage from fluid flow. The passage is resiliently expandable to accommodate receiving an instrument therethrough while providing a seal around the instrument.
