The Icelandic international is currently without a club after a stint in China.
QPR recently lost Charlie Austin to Southampton and did make moves to replace him. They signed Conor Washington and Abdenasser El Khayati from League Two clubs Peterborough United and Burton Albion but are not otherwise blessed with central forwards - just Sebastian Polter standing out.
Perhaps they should consider bringing in a more experienced option on a shirt-term deal - with a former strike partner of current QPR boss Jimmy Floyd Hasselbaink a potentially perfect option.
Eidur Gudjohnsen has fallen foul of the ambition in Chinese football to bring in younger players. He has not been offered a new deal with Shijiazhuang Ever Bright and is currently a free agent.
He played for Bolton Wanderers last season - scoring six goals in 24 appearances. The 37-year-old, who formed a lethal strike partnership with Hasselbaink at Chelsea, would offer experience up top and coverage in central midfield.
With Iceland qualified for the European Championships in France this summer the veteran is desperate for a new club in order to ensure himself of a place in Lars Lagerback's squad. QPR could certainly offer him that opportunity.
He would not be a long-term option but for the rest of the season could certainly privide the Championship side with some mercurial class.