According to TV Line, Lawson has landed a recurring role in the spy drama.
He will play Dr Scott Weiss, who meets Annie (Piper Perabo) when she takes her niece to hospital. Scott is described as charming, attractive and devoted to his job.
Scott does not know what Annie does for a living, though can relate to her as she also prioritises her career.
Lawson played Frazer, who was also known as George, in the Australian soap Neighbours. He recently joined USA's comedy project Wild Card and appeared in the series The Deep End.
Meanwhile, Sofer will appear in several episodes of Covert Affairs as Gina, the ex-wife of Arthur (Peter Gallagher). Gina is said to be intelligent and kind and returns to Arthur's life to help him after Lisa's media assault.
Sofer has previously starred in shows including 24, NCIS, Bones, Heroes and Melrose Place.
Covert Affairs is expected to return for its second season on June 7 on USA.