Alex has been granted a work permit by the Home Office and is now set to hold talks with Chelsea.
Chelsea have been looking to secure Alex from PSV Eindhoven for some time and can now attempt to push through a deal.
The Brazil international has yet to agree terms or take a medical.
A statement on the official Chelsea website said: "At a hearing today, Alex was granted a work permit.
"He still has to agree personal terms with Chelsea Football Club and have a medical."