Commercial Fixed Wing
Flight Crew Air Transport Pilot (ATP); Flight Crew Multiengine; Flight Crew Instrument
Flight Crew Last 90 Days 50
Situational Awareness; Time Pressure; Workload
Deviation / Discrepancy - Procedural Published Material / Policy; Flight Deck / Cabin / Aircraft Event Passenger Misconduct
General Police / Security Involved
Environment - Non Weather Related; Human Factors
While in cruise flight Flight Attendant (FA) A called the flight deck.  The First Officer answered the call.  He told me the FA had a non-compliant passenger with the mask.  He reported that she was tapping him trying to waken the passenger and he pushed her arm away.  We transferred control and I called her back and asked it everything was OK and to repeat what happened.  We ACARS Dispatch to have a Supervisor at gate.  We were in range when we received the call and elected to continue to ZZZ. The passenger was mask non-compliant.  He was told to cover his nose with the mask.  He was sleeping when mask slid down.  FA woke passenger with a tap; it may have startled him; but he pushed her hand away and swore.I believe the company has to make sure the passengers are aware of the seriousness of non-compliance.
Air Carrier Captain reported a passenger was not complying with face mask policy during flight while sleeping.