The Saints are struggling in the bottom half of the table, while Leeds are on the up in the Championship
Marcelo Bielsa has been tipped to take over at Southampton by David Prutton, should Mark Hughes be sacked.
The Argentine has managed to get Leeds United playing scintillating football in the Championship, mounting a serious charge for automatic promotion.
Conversely, Hughes is struggling on the south coast and has been tipped for the sack after a woeful start to the season.
While there is no shame in losing to defending Premier League champions Manchester City, shipping six goals as the Saints did last weekend at the Etihad is poor.
Prutton, who played for both sides during his career, told the Daily Express he believes it will not be long before a club like Southampton comes in for the former Lille boss.
“Southampton are a team thats not just treading water but are dipping below the surface,” he said.
“I think because of the short term impact of what Bielsa has been known for in his recent posts, hes absolutely perfect for a Premier League side that needs to get safe.
“For Leeds fans – and Skys Championship coverage – I sincerely hope it wont happen because what Ive seen him do and what hes brought to the league is superb.
“But I think if you are one of those Premier League sides who arent too sure about your manager, then you start mentioning Bielsas name extremely loudly come Christmas.”