Shanghai Shenhua's Chinese Super League rivals Beijing Guoan are also reportedly interested in signing the England international, the Sun reports.
Both Chinese clubs are ready to offer that mega-bucks one million pounds a month jackpot to Lampard.
Lampard can talk to any club in the world in January, as he will be a free agent next summer when his Blues contract finishes.
Lampard appears on his way out at Stamford Bridge after 11 years, as Chelsea have a policy of offering players over 30 only a one-year extension to their current deal.
Lamps could bank around 36 million pounds from a three-year stint in China with Drogba and Co, but, already financially secure for life, the midfielder has always told pals he is more interested in a challenge than money. (ANI )