Lukaku, 28, is on the verge of sealing a dramatic return to the Blues, seven years after being allowed to leave Stamford Bridge.
The Belgian striker completed the first part of his medical in Italy on Monday as his £97.5m transfer from Inter Milan edges ever closer.
He is now expected in London to sign a five-year contract worth a colossal £200,000-a-week and complete remaining checks.
Italian journalist Egle Patane captured the moment Lukaku arrived at a Milan airport to board a flight to the English capital – but the forward wasn’t in the mood to give too much away.
Asked whether he had a message for Inter fans, Lukaku said: “Greetings to the Inter fans who wanted me to stay. I’ll send a message in a few days.”
Monday was a busy day for Lukaku, who as well as being snapped heading into the airport was also pictured holding what appeared to look like a Chelsea shirt while in a car.
Lukaku looks set to complete his return to Stamford Bridge in the coming days, but it will come too late for him to feature in Chelsea’s UEFA Super Cup final with Villarreal on Wednesday.
But he could play in the club’s Premier League opener against Crystal Palace on Saturday – eight years after his last appearance for the Blues in the 2013 Super Cup.
When asked about Lukaku this week, Chelsea boss Thomas Tuchel said: “I will not talk about players who don’t play in my squad. He’s a fantastic player but he’s an Inter player and I will not talk about him in this situation.”
He added: “You can imagine a lot of players want to come and join but we will not talk about that.”
Inter, meanwhile, look set to bring in former Manchester City ace Edin Dzeko as they begin to contemplate life without the man who fired them to Serie A glory last season.