Brown used to be Sam Allardyce's assistant at Blackpool and Bolton Wanderers.
The Shrimpers want the talented West Ham striker to have a second spell on loan with the team, after an injury hit short-lived spell in October. He was at the club for a matter of hours before picking up a hamstring injury, and returned to West Ham a week later.
But Brown, who worked with West Ham manager Sam Allardyce at Blackpool and Bolton Wanderers, has told the Southend Echo that he would like to bring Lee in again:
“I’m still interested in bringing Elliot Lee back to the football club but I don’t think he’s quite ready to play on a regular basis at the moment.
“I’ve spoken to West Ham quite regularly about his progress ever since his loan spell with us came to end...
“I’ve been interested in bringing Elliot Lee to the football and that hasn’t."
Lee, the son of former England international Rob Lee, has played two games for the West Ham first-team, but has not featured since playing two minutes of a 1-0 defeat against Stoke City back in August 2013.
He spent part of last season on loan at Colchester United, where he scored once in four appearances.