City are only thought to be interested in a permanent transfer.
They leave for a three-match tour of the United States on 17 July.
Analysis - Hart only mediocre
Italian football journalist Mina Rzouki speaking to BBC Radio 5 live:
He made a lot of mistakes at Torino. I'm not saying he's a bad goalkeeper, sometimes he really pulls it out, and what was great for him at Torino was everyone loved him.
He was the one that commanded the headlines. Everyone wanted to read about him, everyone wanted to talk about him because he was the English captain and everyone wanted to look at him like this beacon that came to Torino and chose Serie A over everyone else.
But let's be honest, he's not of that calibre. He is a Torino-style goalkeeper rather than Manchester City any more.
So, all in all, he is only what I would say is mediocre in Serie A, which is littered with good goalkeepers and good defenders.