The midfielder will return from the Olympic Games on Wednesday but has been strongly linked with a £13.5 million move to team up with former manager Brendan Rodgers at Anfield
The 22-year-old, who was a mainstay of the Team GB midfield which reached the Olympics quarter-finals, is a target for Liverpool manager Brendan Rodgers and the Reds have had a £13.5 million bid accepted.
Allen made a brief appearance at the club's training ground on Monday and Laudrup has revealed that he expects to discuss the Wales international's future soon enough.
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"I did not think it was the proper moment, but we will have to talk about that with the player to see what he wants so we can say something official, otherwise the rumours will go on until August 31 [the end of the transfer window], which is not in anyone's interest.
"On Wednesday he will be back in training with the other two guys who have been at the Olympics and then we will have some talks so it does not go on until the last day of the transfer window."
Whilst speculation continues over Allen, other Swans players who impressed during the club's Premier League debut last season are also rumoured to be attracting attention from elsewhere.
However, Laudrup has been quick to deny that there will be an exodus of the Welsh outfit's best players before the end of the summer.
"There is always rumour; one day it's Joe Allen, one day it is Ashley [Williams], the next it's [Neil] Taylor or it's Leon [Britton] or [Danny] Graham," the Dane noted.
"It's normal, you look at it as normal and it says we must be doing something good.
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Laudrup, who has already added highly-rated midfield duo Jonathan de Guzman and Michu alongside Spanish defender Chico Flores to his squad, is also keen to make further acquisitions.
"I have two players in mind for two positions, I can't say more than that right now but at the moment that is my intention," confirmed Laudrup.
"If something happens to one of the regular starters like Joe Allen, if he leaves we would need to find a replacement but the best situation for us would be to have two players for each position."