The 21-year-old Obinna is one of the most highly rated youngsters currently plying his trade in Italy, and the lightning paced striker last season played a key role in Chievo’s promotion to Serie A.
Inter currently have first refusal on the Nigerian, as when he joined Chievo from Enyimba in 2005, the Italian champions actually helped finance the move, and in fact they also partly own a percentage of the player's contract.
Obinna has been linked to a host of Italian clubs, including Roma and Napoli, but The Gazzetta claims that it is Inter who could be on the verge of snapping him up on a four-year contract.
Yesterday Obinna, who starred at the recent Olympics with Nigeria, admitted that Chievo had promised him that he could leave this summer.
"I'm looking forward to a brighter future - to go and play for an important club, maybe in the European Champions League," Obinna told BBC Sport.
"I wanted to leave them last season, they begged me, they said that I should stay so that I will come back to Serie A and then I can leave.
"They gave me their word, so they have to fulfil their promise."
However, if Porto's Ricardo Quaresma completes his move to Inter also, Obinna is expected to immediately be sent out on loan to either Monaco, West Ham or Everton.