Commercial Fixed Wing
Flight Crew Multiengine; Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument
Aircraft Equipment Problem Less Severe; Deviation / Discrepancy - Procedural Published Material / Policy
Air Traffic Control Issued New Clearance; Flight Crew Requested ATC Assistance / Clarification
Aircraft
We were flying the PANGG Arrival with the Runway 13C transition.  The ATIS for MDW was advertising the 'RNP' Approach to 13C.  We had programmed the RNAV Y 13C.  Upon check-in with Approach; we were told to expect the RNAV Z 13C.  I looked at chart and noticed that was a straight-in GPS approach; which I found odd that we would be issued since the ILS was operational.  I questioned ATC if they meant the 'Y' or the 'Z' approach; and they confirmed the 'Z.'  The Pilot Flying loaded the approach in the FMC and began to brief the points; to which we realized none of them matched the chart.  We both looked in the list of available charts and the list in the FMC database to make sure we were looking at the correct approaches; and it appeared we were.  I checked both Jeppesen apps and they both had the same approach plate; dated 2018.  I looked to see if there was a NOTAM I had missed or a message in the airport page and there wasn't one.  My assumption was this was a new approach; since the FMC database was for (date-two days ago); and for whatever reason; we did not have the approach plate available.  I notified ATC that we did not have the proper plate; and would be unable to do the approach.  We were then issued the RNAV Y for 13C; and I confirmed with ATC the points on the approach to make sure we had the correct procedure.  Both the First Officer and I had current Jeppesen databases.  I checked after arrival if there was an update available; and there was not.  My currency said there was 13 days until the next update.  I called Dispatch to let them know what happened; and he thought it was due to the fact that we have tailored charts; but he would forward the information.  I did mention putting a note on the weather packet. Prior to filling out this report; I checked the backup documents on the company website; and they also have the old chart dated 2018 in that database.  However; government sources (NOS) have a chart dated (date-two days ago) that have the new approach with points that match our FMC database.  My guess is that the Jeppesen app either did not update properly; or they have omitted the chart from this cycle.
An Air Carrier pilot reported they were assigned an approach which was not available in their FMC Database.