The Daily Star says Bayern will offer Robben to Liverpool in exchange for Suarez.
The Champions League winners are willing to do anything to gain the services of the Kop star, according to sources on the continent.
Suarez has admitted he wants to leave Anfield but Liverpool won't entertain offers for the Uruguayan.
But Bayern are looking to test their resolve by tabling a bit that would see 29-year-old Robben move the opposite way.
Dutchman Robben has been a key part of Bayern's treble-winning team but club chiefs are understood to be open to letting him go if it meant they could sign Suarez.