Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument; Flight Crew Multiengine
Flight Crew Type 100
Time Pressure; Troubleshooting; Workload; Distraction; Situational Awareness
Inflight Event / Encounter CFTT / CFIT
Air Traffic Control Issued Advisory / Alert; Flight Crew Became Reoriented
Human Factors; Weather
We were assigned the ILS XXR with the circle to XY. Tower instructed us to start the circle at the marker. We configured for a flaps 40 landing with auto brakes 3. At the marker; I turned southeast to approximate the track of the ZZZ Visual XY; which was briefed on the descent and was selected in the Control Display Panel. At approximately 620 ft. MSL; the Tower issued a low altitude alert. I did not have the PAPI in sight because we were heading south; and the vertical guidance was inaccurate since we were not on the lateral course. I immediately climbed approximately 100 ft.; and we then reestablished a proper descent. The landing was normal. The aircraft did not give any altitude warnings. I am a new [make/model] Captain. I just completed my 100 hours. The First Officer is on high minimums.
Air carrier Captain reported ATC issued a low altitude alert warning while the Captain was executing an ILS circle-to-land approach.