The former Juventus, Barcelona and Real Madrid player has been a free agent since leaving Real Mallorca in September and looks set to replace Brendan Rodgers at the Liberty Stadium
Michael Laudrup is expected to be appointed as the new manager of Swansea City following extended talks with the club's chairman, Huw Jenkins.
The former Denmark international has been linked with the postm alongside a shortlist of other candidates including Blackpool's Ian Holloway and Ajax coach, Dennis Bergkamp, but the Euro 1992 winner has now become the favourite to take over at the Liberty Stadium by the end of the week.
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The 47-year-old former Barcelona and Real Madrid player has been out of employment since resigning from Real Mallorca last September, after a problematic relationship between himself and their chairman Lorenzo Serra Ferrer.
Jenkins has denied that any deal has been concluded for a new manager, but has confirmed the club is on track to fill the position within the set time-frame, telling the South Wales Evening Post: "If I had not been able to make progress, I wouldn't have been in Cyprus.
"We knew roughly what we were going to do even before I came out. That's what we've tried to get on with and obviously progress has been made. Hopefully now I can get back home and bring the process to a conclusion.
"There are always things to consider and that will be the case for us right up until the last minute. Nothing is concluded until it is concluded. Until everything is ironed out and finalised, these things are never over the line."
The chairman revealed his board has been fully briefed on negotiations with a potential new manager, insisting that an announcement should take place come Friday.
He added: "The average length of time it has taken us to appoint a manager in the past is 15 days. That takes us up to Friday this time around, and I am hopeful that we will fit in again with our average.
"It's not a case of coming back and discussing things with the board of directors, because I have been in touch with them every day. We have been trying to push things forward this week and I am hopeful that we will soon get things sorted."
Laudrup's first coaching role was with the Danish national team in 2000, and has enjoyed spells at Brondby and Getafe, before enduring difficult times with Spartak Moscow and Mallorca.
And his former Denmark team-mate, and ex-Swansea manager himself, Jan Molby, believes Laudrup has the ability to shine at the Liberty Stadium.
"I'm at a hotel in the Ukraine with an awful lot of Danish journalists and they all seem pretty sure that Denmark is about to have their first manager in the Premier League,” he told reporters.
"I think he'll do well. I know Michael was very impressed with the way things are done [in the Premier League], the way in which he is in control of footballing matters, selling of players, buying of players."
"I know that's some of the problems he's had at previous clubs and of course he has a very specific way he wants to play. He was strongly influenced by Johan Cruyff when he was at Barcelona in the late 1980s, early 90s.
"That's how he wants to play his football, that's how Swansea played last year under Brendan Rodgers, so if it happens I think it's a marriage made in heaven."