The Championship side, managed by Beckham’s former England boss Sven Goran Eriksson, are ready to splash the cash to bring him to the King Power Stadium.
Eriksson is keen to be re-united with the LA Galaxy midfielder and the clubs billionaire Thai owners King Power are just as eager to bring him in.
They want Premier League football and are prepared to fund Beckham’s £200,000-a-week wages for six weeks when the MLS season comes to an end.
A businessman close to King Power said: “This time the Raksriaksorn family are going all out to get Sven to bring Beckham to Leicester. Even they have been overwhelmed at how big Leicester have become here in Asia.
“They are keen to maintain the momentum and, of course, grow the club.
“Sven is in touch with Beckham, the funding is in place and they hope a deal can be done that will suit both parties. It will be good for everyone.”
The Leicester boss’ relationship with the 36-year-old is still strong and chairman Vichai Raksriaksorn believes Sven can persuade him to make the move.
“We want to get into the Premier League simply because I would love to see the team get promoted, because we are a big team.” He said.
“We have a clear vision that we are trying to take the club to the Premier League.”
Whether Beckham is prepared to move to Leicester remains to be seen but its know he likes to maintain his fitness in the MLS off-season playing for AC Milan and training at Arsenal and Tottenham with Harry Redknapp attempting to sign him last season.