The Arsenal target had been set to step up his preseason preparations against Valerenga, but has pulled out and is instead set to have a scan to assess the extent of an injury.
The Uruguay international had been set to step up his preparations for the new season when the Reds take on Valerenga on Wednesday, but is now set to have a scan on his foot to asses the extent of the injury.
Suarez has been the subject of a 42 million pound bid from Liverpool's Premier League rival Arsenal this summer which was rejected by the Merseyside outfit.
Following the rejection of the Gunners latest transfer offer, reports suggest Suarez is thought be considering handing in a transfer request as he looks to force through a big money move to the north London outfit.
Suarez and his representatives are also believed to be contemplating taking legal action against Liverpool, after believing he had the option to join Arsenal after the club matched his alleged buyout clause.
A number of other first-team squad members miss the trip to Norway including defensive trio Glen Johnson, Daniel Agger and Martin Srktel.
Liverpool squad in full:
Jones, Enrique, Toure, Alberto, Gerrard, Aspas, Coutinho, Assaidi, Henderson, Coates, Downing, Spearing, Lucas, Mignolet, Allen, Borini, Sterling, Kelly, Flanagan, Ibe, Wisdom