Sacked Chelsea boss Roberto di Matteo is being linked with Southampton.
The Daily Mail says Nigel Adkins's job is still under review by chairman Nicola Cortese despite the club's recent revival.
Christian Gross and Roberto Di Matteo are being lined up as potential replacements should the axe fall on the Liverpudlian boss.
Adkins was on the brink of the sack in November after his side's poor start to the Premier League season, but a steady improvement resulted in a stay of execution.