Reports claim Saints boss Nigel Adkins wants to take the £1.5 million-rated midfielder to St Mary's as he prepares for life in the Premier League next season.
A Millwall spokesman said: "Contrary to press speculation, there has been no contact from other clubs surrounding the availability of any Millwall players."
Trotter, 22, has made 100 appearances for the Lions, scoring 16 goals, since joining from Ipswich in 2010.
The club have also confirmed veteran goalkeeper Maik Taylor has agreed a one-year deal.
The 40-year-old spent the tail end of the season on loan at The Den and has now been released by Leeds at the end of his contract.