The 45-year-old is fast becoming one of the most highly rated coaches in Europe, winning back-to-back Bundesliga titles in 2010/11 and 2011/12, and leading Dortmund to the Champions League final this year.
The Old Trafford hierarchy have been suitably impressed with the job that Klopp has done in Germany, and are ready to offer him the managerial job when Ferguson decides to retire.
Ferguson has no immediate plans to call time on his reign, after Manchester United coasted to another Premier League title - their 20th English top-flight crown - with four games still remaining.
However, senior officials at the club are keen not to lose Klopp to a rival club, with numerous European giants monitoring the German's situation at the Westfalenstadion.
Klopp has insisted he is still committed to Dortmund, and has no plans to leave them this summer, even if the club loses more key players, after Mario Gotze agreed a controversial move to rivals Bayern Munich.
It's understood that Ferguson approves of Manchester United's choice of successor, with Klopp's work at Mainz, prior to arriving at Dortmund in 2008, also evidence of his managerial pedigree.