Arsenal, who defeated Newcastle United in extra time last weekend, defeated Chelsea to lift the trophy at an empty Wembley Stadium in 2020.
As of now, there is no word on what will happen with Saints’ third-round FA Cup fixture with Shrewsbury Town.
The match was postponed following a COVID-19 coronavirus outbreak among Shrewsbury players and staff.
A meeting of the FA’s Professional Game Board is due and that will decide the fate of the Shrewsbury game.
If Southampton to progress to the fourth round, victory over Arsenal will set up a match with either Wolverhampton Wanderers or non-league minnows Chorley.