"We are still looking and at the end of the transfer window we will see who we have and what we have... of course everybody will open their arms when Virgil comes back and we go at it".
Manchester City, Liverpool and Chelsea have all been linked with a move for Southampton defender Virgil Van Djik this summer, and despite the defender handing in a transfer request, he is not for sale.
"I don't know if the Van Dijk lad is really verbal and is an organiser but if we were to have that sort of player, it would make a massive difference to the team".
The Saints' only sale this summer was £12m striker Jay Rodriguez to West Brom, a sea change from previous years when the exit door at St Mary's turned into Piccadilly Circus.
The Holland worldwide has been heavily linked with a move to league rivals Liverpool this summer.
This summer has been dominated by big-money transfers and agitated players, with the future of Southampton's unsettled 26-year-old centre back one of the more turbulent sagas.
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But Krueger, 57, added: 'Virgil is not for sale in this window and it's not personal. "I can go back to Morgan Schneiderlin in our first summer and I could list others, but let's not do that".
Indeed, the same article claims that Liverpool and Van Dijk won't succeed in bullying Southampton to sell the former Celtic defender to the Merseyside club.
Liverpool manager Jurgen Klopp has admitted the need for more new signings at Anfield after several injuries left the team short of depth and options on the opening day of the season, when the Reds were unable to get the better of Watford in a 3-3 draw. "We haven't got the targets we wanted to buy and that becomes an issue as well".
'We're very, very adamant about carrying this through.
Krueger praised boss Mauricio Pellegrino as a "strong leader" for how he is dealing with things, saying he had kept everybody focused and forged an amicable relationship with Van Dijk.