Ronald Koeman says Saints are hoping to finalise two transfers this week, with the club understood to be keen on signing Atletico Madrid defender Toby Alderweireld.
The Belgium international, who can play at centre half or right back, is believed to be a serious target ahead of the transfer window closing.
As well as the 25-year-old, Saints are also still hoping to add another wide player to their squad.
Andros Townsend is top of their list in that position, but the club have so far been frustrated in their pursuit of the Spurs player. Norwich’s Nathan Redmond is another they have had an offer rejected for this summer and he could provide another option.
When asked about Alderweireld after last night’s win over Millwall, Koeman said: “I don’t go and talk about names about players.
“In two positions we are trying to bring in new players and we hope to bring in this week.
“The club is doing everything for that and I hope that we will finish with that this week.”
If Saints can complete a move for Alderweireld it would cast further doubt over the future of Jack Cork, who scored his first ever goal for the club in the Capital One Cup win at the Den last night. Cork had been earmarked as cover for Nathaniel Clyne at right back and Koeman was again quizzed on his future.
“He’s a player of Southampton,” said the Saints boss, who confirmed there were no immediate plans to offer the player a new contract, with his current deal set to expire next summer.
“About him there was a lot of rumours, but Jack is doing very well and wants to stay in Southampton.
“Okay, if there is any possibility for him, and when he is not happy, then he knows the door is open of my office and he can come to talk and then we will see what the best is for everyone in this situation.”