It kicks off at the Stadio Via del Mare at 19.45 UK time (18.45 GMT).
The Nerazzurri have struggled in pre-season, especially in defence, conceding far too many goals.
Brozovic was a major doubt for this game with a calf problem, but he has recovered to start in midfield, with only Danilo D’Ambrosio injured.
Lukaku makes his return to Serie A one year after leaving for Chelsea, reunited with Lautaro Martinez, while Robin Gosens takes over the left flank.
Lecce won the Serie B title last season, but go into this game with quite a few injuries to deal with.
It is raining very heavily in Lecce, which could make play tricky.
Lecce: Falcone; Gendrey, Cetin, Baschirotto, Gallo; Bistrovic, Hjulmand, Gonzalez; Strefezza, Ceesay, Di Francesco
Inter: Handanovic; Skriniar, De Vrij, Dimarco; Darmian, Barella, Brozovic, Calhanoglu, Gosens; Lautaro Martinez, Lukaku