The Reds have been linked with a transfer window swoop for the 23-year-old France international as Roy Hodgson looks to bolster his squad.
With Damien Comolli having left the Ligue 1 side to become director of football strategy at Anfield, speculation that Payet could be on his way to the Premier League has intensified.
But Les Verts insist they have no plans to part with any of their players midway through the season and instead will be looking to bolster their squad.
"Liverpool have not contacted us," St Etienne co-president Roland Romeyer told France Football.
"We have built a roster for the season. There will be no departures during the winter transfer window. Should there be any movement, it would be the other way.
"Depending on injuries, for example, we could sign a player. But this is only a theory."