Millwall have received no approach from Southend United to speak to their first team development coach Adam Barrett, as per a report by the Echo News.
The Shrimpers are in the hunt for a new manager to replace Kevin Bond, who was sacked after a poor start to the season in League One.
Barrett, who is 39 years-old, is the early favourite for the vacant position. He played over 350 games for Southend as a player during two separate spells at the club and also supported them as a boy.
He hung up his boots in February 2017 and has since worked in the Championship with Millwall.
Barrett started his career with spells at Leyton Orient, Plymouth Argyle, Mansfield Town and Bristol Rovers before first joining Southend in 2004. He spent six seasons with the Shrimpers during his first spell there and played for them in League Two, League One and the Championship.