A drilling rig with a top drive having an inside blowout preventer for drilling in a wellbore, the drilling rig having a derrick and a crown, a torque track suspended from the crown, a travelling block hanging from a cable, a drawworks for raising or lowering the travelling block, and a top drive with a rotatable stem suspended from the travelling block. The top drive has a motor mounted to the top drive housing and is connected to the rotatable stem. An inside blowout preventer with a rotatable stem is connected to the top drive rotatable stem. The inside blowout preventer has a hydraulically actuatable arm, a hydraulic cylinder, a tubular body having a tubular bore, and a valve operator assembly surrounding the tubular body.