Lukaku, after losing his place in the starting line-up at Man United under Ole Gunnar Solskjaer left the Red Devis to Inter Milan in 2019.
The Belgian forward in demand for more playing time helped Inter Milan to a Serie A truimph for the first time in 11 years.
Speaking of his torrid spell with Manchester United, Lukaku insists the Nerazzurri got him out of a "deep hole"
"I was only going to leave Inter Milan for Chelsea," Lukaku told HLN. "Kids love Real Madrid, Barcelona, Manchester United. And Chelsea for me, everyone knows what Chelsea means to me.
"If they ask me, why would I say no? I only realised that Chelsea was serious at the third offer. So it was €100m (£85m), then it was €105m (£90m), and then it went to €110m (£94m). Then I knew, this is truly serious.
"I was in a deep hole at Man United. I didn't want to go behind Inter's back.
"So after training I went to [Inter boss Simone] Inzaghi's office. I didn't want to ruin the atmosphere because I was no longer with my head in Milan. So I asked him: please find an agreement."
Lukaku scored 64 goals in 95 appearances for Inter Milan before earning a £97.5 million move back to Stamford Bridge - which he admits was a head-turner.
Manchester United sold Lukaku to Inter Milan signing a five-year contract for a fee reported to be a club record of €80 million.
