LA Galaxy, New York Red Bulls and Orlando City are said to have approached the Blues captain.
With the new MLS season starting next month, Terry has been targeted as a potential big name signing.
The 36-year-old has fallen down the pecking order under Antonio Conte, however, he remains an important part of the dressing room.
No extension beyond the summer has been tabled by Chelsea yet to Terry.
Chelsea's John Terry has been eyed by the MLS following Frank Lampard & Steven Gerrard's retirements
He has opted to stay and reject wages of £200,000 a week in America
According to the Daily Star, he has told the interested MLS clubs he will wait until June until making a decision over his future.
The centre-half is set to become a free agent at the end of the campaign, with a final title on the cards at Stamford Bridge.
Despite the Chelsea legend's lack of game time, he has opted to stay and reject wages of £200,000 a week in America in doing so.
John Terry sitting with Chelsea fans at Burnley
Sun, February 12, 2017
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John Terry sat with the Chelsea away fans at Burnley
Terry's 12-month contract signed last May saw him accept a £90,000-a-week pay cut, showing his dedication to the Blues.
And if Terry had have chosen the recent deal in the MLS, it would have also pocketed him a signing-on fee of around £500,000.
Discussions over life in the MLS have been held with close friend and former team-mate Frank Lampard.
But for now, the former England skipper is simply desperate to life a fifth Premier League trophy with Chelsea.