The Red Devils manager was looking for a replacement to succeed his long-term No2 Brian Kidd, who opted to take over the head coach’s role at Blackburn Rovers.
Moyes was just over six months into his Preston North End reign when Ferguson contacted his compatriot, with the current Everton manager meeting the Red Devils boss to discuss a possible role.
Ferguson eventually opted to appoint Steve McClaren as Kidd’s successor, with Moyes being named Everton’s manager in March 2002 and leading the Toffees into the Champions League for the first time in 2005.
“I met Fergie in the year they won the Champions League,” Moyes said.
“He asked me to have a cup of tea with him. He was looking for an assistant. I met him but he gave the job to McClaren.
“I was fine with that because I was enjoying what I was doing at Preston but, if that opportunity had come, I wouldn’t have turned it down. Maybe it was a good decision not to do it.
“They went on to win the European Cup and have been very successful since but I’m happy with the way it’s worked out for me.”