Jo is expected to leave City this summer after spending the last two seasons out on loan to Everton and Galatasaray respectively.
Real Sociedad have confirmed that they are keen on signing Jo, but admits it will be a difficult move to complete.
“It is very, very difficult,” Real Sociedad president Jokin Aperribay said.
“He is a great player, but he belongs to Manchester City and we have talked by fax.
“In other words, it is much less than what has been said in the press.”