After Leeds was demoted last season, the USA captain is free to depart for a fixed £20 million.
At Chelsea, the midfielder is seen as a potential replacement for Moises Caicedo of Brighton.
The 24-year-old Adams has no desire to finish the season in the Championship.
According to The Daily Mail, Chelsea plans to fulfil Adams’ buyout clause this week so he may play against Liverpool in their Premier League opener.
