The Norwegian appears to be on his way back to Serie A and is scheduled to undergo a medical with the Nerazzurri within the next 48 hours ahead of a free transfer.
The Nerazzurri are in the market for a new striker because of Diego Milito's injury, and were previously linked with the retired Ruud van Nistelrooy as well Mido and Emile Mpenza.
The club has now turned its attention to the 33-year-old Carew, who will undergo a medical over the next 48 hours.
"This is a great opportunity for me," the former Norway international told reporters. "I feel in form. In these last months I have trained a lot."
Carew has been without a club since he left West Ham in the summer of 2012, but his agent Per Flod has stressed that his client is ready to return to match action.
"Inter are an interesting club for him because they are one of the biggest teams in the world. Someone with John's physique would be ready to play again within a week," Flod told reporters.
Carew previously played in Serie A on loan at Roma in 2003-04, when he netted seven goals in 20 league appearances.