A sterile drape, a surgical system with the drape, and a draping method are provided. In one embodiment, a sterile drape includes a plurality of drape pockets, each of the drape pockets including an exterior surface to be adjacent a sterile field for performing a surgical procedure and an interior surface to be adjacent a non-sterile instrument manipulator coupled to a manipulator arm of a robotic surgical system. The drape further includes a plurality of flexible membranes at a distal face of each of the drape pockets for interfacing between outputs of an instrument manipulator and inputs of a respective surgical instrument, and a rotatable seal adapted to couple a proximal opening of each of the drape pockets to a rotatable element at a distal end of the manipulator arm.