The Sun says the Chelsea and England midfielder is the number one priority for Super League side Guizhou Rehne.
Lampard, who is out with a calf injury at the moment, has been offered £250,000 a week to move to the Far East and Guizhou want him in January.
Lamps, 34, is not dismissing the approach and has listened to what the Chinese have to offer.
The move is being masterminded by super agent Pini Zahavi who is brokering a number of deals in China.
But although talks are continuing with Lampard no deal has yet been agreed.