The Daily Express says Lampard will delay signing any deal with LA Galaxy until he sees what offers come in from European clubs.
A source close to Lampard told the Daily Express: “Frank is free to speak with other clubs. He is aware of strong interest from LA Galaxy and has expressed a desire to move to the United States.
“But he still believes he can do a job for someone in the Premier League and wants to take his time and see if any other offers come up.
“This is a big decision for Frank. It is probably the last move he will ever make in his playing career and he wants to make sure that it is the right one for him and his family.”