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The 34-year-old player will become a free agent after the season - the club's management clearly hinted for the veteran to start looking for a new team.
The U.S. team hopes to sign a preliminary contract as early as January.
However, the plans of "Galaxy" team may be disrupted by Paris Saint-Germain - their coach Carlo Ancelotti is still considering whether it's worth reuniting with his former protege.
Lampard has been playing for Chelsea since 2001.
