A transfer case pump includes an oil pump, a cover assembly, and a torque transfer mechanism. The oil pump has a pump shaft, and is configured to pressurize a lubricant in response to a rotation of the pump shaft. The pump shaft rotates around a pump axis. The pump axis is parallel to a rear axis of a rear shaft. The pump axis is offset from the rear axis. The cover assembly has a channel configured to transfer the lubricant from the oil pump to the rear shaft. The cover assembly extends around the rear shaft and around the pump shaft. The torque transfer mechanism is configured to transfer a torque from the rear shaft to the pump shaft.