The two former Chelsea men meet in opposite dugouts for the first time ever on Tuesday when Derby travel to Old Trafford.
Blues legend Lampard enjoyed his time under Mourinho at Stamford Bridge, winning two Premier League titles during the Portuguese coach’s first spell at the club.
Lampard will be out to get one over his former manager in the Carabao Cup this week.
And the Derby boss has admitted he has already received a phone call from Mourinho ahead of the third round clash.
“I’m looking forward to seeing him,” Lampard said after beating Brentford on Saturday.
“On a personal level, he was a manager who was very influential on my career.
“We’ve spoken in the last 24 hours to congratulate me but it was very brief but we talked family.
“I learned a lot from him and I appreciate it.”
Derby are enjoying life under the former midfielder in the Championship, sitting sixth in the table at present.
But Lampard isn’t getting carried away just yet, despite his fantastic start to life as a manager.
“We know what we’re coming up against,” he added.
“A great Manchester United team that’s been put together.
“The fact we’re on telly against one of the best teams in the Premier League is a challenge for us.
“If we put in the energy we did today then we’ll give a good account of ourselves.
“We must do it because it’s going to be a very tough ask. What we can’t do is go there and walk away and say we should’ve done this or that.
“We have to give everything and make sure it doesn’t pass you by.
“Whether we can win or not is a very tough order but we need to have our fans coming away proud of the team.”
United will be hoping to bounce back after a disappointing home draw against Wolves on Saturday.
Mourinho’s men took the lead through Fred before Joao Moutinho equalised with a stunning left-footed effort.