The Shrimpers have just sold reigning player of the year Ryan Leonard to Sheffield United and do not want to lose Wordsworth.
He signed an extension last summer but his deal expires at the end of the season and the former Colchester man has already said he is willing to stay at Roots Hall.
Southend are prepared to grant that wish with Wordsworth having impressed this season, despite some minor injury issues.
He has scored three goals in 19 games this season with Southend 17th in Sky Bet League One.
Wordsworth joined the Shrimpers on a free transfer from Ipswich in 2015 and has made 80 appearances, scoring 19 times.
Rangers manager Steven Gerrard is weighing up a move for Liverpool full-back Jon Flanagan, reports claim.
Scottish champions Celtic are reportedly ready to offer full-back Calvin Miller a new deal before sending him out on loan.
Everton target Jack Wilshere has sparked a scramble for his signature after confirming he is leaving Arsenal this summer.
Tottenham's hopes of landing Wilfried Zaha have been hit by the news Crystal Palace have offered him a bumper new deal to stay.