Willian has just one year left to run on his contract, says The Sun.
And new Blues boss Lampard is yet to green light an extension for the Brazil international, who is being watched by Barcelona.
It is thought that Lampard will make a decision on the player's future once he has seen him in training.
Willian is yet to be a part of Chelsea's pre-season preparations having earned a late call-up to Brazil's Copa America winning squad.
The Blues return from their tour of Japan next week, with the tricky forward set to join them then.