That is according to respected Italian journalist Massimo Marianella.
Chelsea along with Manchester United have been keeping tabs on the £70million-rated striker.
Recent reports suggested Conte has bold plans and wants to land Lukaku AND Arsenal star Alexis Sanchez.
Chelsea transfer news: Five most likely summer deals
Wed, March 29, 2017
Express Sport brings you the five most likely summer signings Chelsea could seal according to Betfair
1 of 5
Virgil van Dijk – 5/1
Romelu Lukaku could be heading back to Chelsea in the summer
Antonio Conte wants to bolster his strikeforce in the summer
Many other players could also arrive [at Chelsea]
While Arsenal would be reluctant to sell Sanchez to a direct Premier League rival, it is believed thrashing out personal terms wouldn’t be an issue.
And it seems the first piece of their transfer business could be completed.
When pressed about a return to Stamford Bridge for Lukaku, Marianella said: “I think many big players will join Chelsea in the summer as Conte wants the Blues to become credible contenders for the Champions League win.
“I can say Lukaku’s Chelsea move is almost done deal and reports in England claim Alexis Sanchez will also play for Chelsea next season.
“Many other players could also arrive [at Chelsea].”
Lukaku is the Premier League’s top scorer with 21 goals.