Matches will not take place until May 17 – the date fans are expected to be allowed back into grounds under the Government's roadmap.
Fifth in the Championship, five points clear of seventh-placed Reading with five matches remaining, Barnsley look set to earn a shot at the Premier League via the play-offs.
The Reds have only played once in the top division before, in 1997-98.
Oakwell has not hosted fans since Cardiff City travelled there for a Championship game on March 7, 2020.
The first legs of the Championship play-off semi-finals will take place on May 17, with the return on the Saturday. The first legs kick off at 6pm and 8.15pm, with the return games at 12.30pm and 5.30pm. Teams finishing fifth and sixth will be at home first against the sides in fourth and third respectively.
Sides will have nine days to prepare for their semi-finals, with the final round of Championship games at 12.30pm on May 8.
The play-off finals are on the second bank holiday weekend of May, the Championship game on the Saturday (29th), League One Sunday and League Two Monday.
Doncaster Rovers' hopes of making the League One play-offs are fading fast, whilst leaders Hull City will be aiming to avoid them, but the semi-finals in that division are on May 18/19 (both 6pm) and May 21/22 (7.45pm/3pm). The final round of regular-season League One games kick off at noon on May 9.
Four places but only three points outside the play-off places in League Two, Bradford City still cannot be discounted.
The League Two play-off semi-finals are on May 20 (6pm/8.15pm), with the second legs on May 23 (12.30pm/6.30pm).
The fixtures for next season will be released at 9am on June 24., at which points fans of all Football League clubs can hopefully start planning to be back watching their teams from inside the stadium.
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