A transmission for a vehicle and a shaft assembly for transferring a fluid in the transmission of the vehicle are disclosed. The shaft assembly includes an input member rotatable about a longitudinal axis. The input member defines a cavity along the longitudinal axis. The shaft assembly further includes a shaft rotatable about the longitudinal axis and extending to a first end facing the input member. The shaft and the input member are spaced from each other along the longitudinal axis to define a gap therebetween. The shaft assembly also includes a cap attached to the shaft, with the cap extending through the gap into the cavity of the input member. The cap defines an aperture in fluid communication with the cavity for delivering the fluid from the shaft to the cavity of the input member.