Mike Lindell, founder and chief executive officer of My Pillow, said he had heard rumblings of the shortage and was even called by a Chicago radio station, asking if his company would intervene.
Lindell agreed and has readied a shipment of 3,000 pillows to be sent via FedEx to Sochi, the (Minneapolis) Star-Tribune reported Saturday.
The only problem -- he doesn't know where to send them.
Multiple shipping addresses have been offered and he's heard Russian officials are stopping shipments headed for the games.
The pillow shortage became public when Russian citizens were told by government officials they would take people's pillows and give them to athletes and international media staying at the Olympic village.
Complaints have poured in since people began arriving in Russia this week of shabby hotel accommodations, poor logistical planning and even a missing Olympic ring that malfunctioned during Friday's opening ceremony.