The Germany international is available on a free transfer after not being offered a new contract at Chelsea.
Bremen and Leverkusen are not interested in making a move for the 33-year-old, due to his high wage demands.
Although it would be nice it is an illusion,” Bremen general manager Klaus Allofs told Kicker.
Leverkusen business manager Wolfgang Holzhauser stated: “The relationship between Bayer and Michael Ballack was always special and we were an important step in his career.
“A question is whether we could afford such a move now.
“We have not had any talks on the issue as yet but I must say I have my doubts.”
