The temporary departure comes as the arts, culture and entertainment show's former host, Jian Ghomeshi, faces an investigation after three women came forward to Toronto police alleging he attacked them.
Ghomeshi has not been charged with any criminal offence, and has said all acts involving rough sex with women were consensual.
The CBC fired Ghomeshi on Oct. 26, saying "information came to our attention recently that in CBC's judgment precludes us from continuing our relationship with Jian."
Ghomeshi has not responded to CBC requests for comment on his accusers' allegations.
Thompson said Monday it was Noorani's decision to take some time while the CBC examines the allegations about Ghomeshi. He said the entire Q staff was offered the week off, but it was up to them whether they wanted to take it.
The public broadcaster is expected to announce today the name of a third-party outside firm that will be hired to investigate the situation involving Ghomeshi and allegations about his behaviour.
The announcement is expected to outline the scope of the investigation and how it will be done.