That's according to reports from local publication 'The Northern Echo'.
The 22-year-old also has been much sought-after this summer, with interest from Premier League sides Bournemouth and West Ham as well as second division sides Middlesbrough, Reading and Birmingham City.
At this point in time it appears that Garry Monk's side have won the chase for the creative midfielder, with the former Swansea boss desperate to add some creative quality to his midfield as he looks to return Boro to the top-flight at the first time of asking.
Baker has spent the last two seasons on loan in Holland at Vitesse, making 64 appearances and scoring 15 goals, but it is understood that Chelsea are keen for him to get some domestic experience.
It looks like it will be a case of one in and one out at the Riverside, with Dutch midfielder Marten De Roon set for a return to Italy with former side Atalanta after they agreed a fee with the Teessiders.