Naik has been appointed to the post by Rajya Sabha Chairman Hamid Ansari.
Singhvi resigned as chairman of the committee on April 23 in the wake of the purported CD involving him.
The committee had grabbed headlines after it came out with a report on the Lokpal last year on whose recommendation the government brought a re-drafted legislation on the issue.
At present, the panel is scrutinising the Citizen's Charter bill.
Issues related to women employees, their problems at workplace, especially in reference to the guidelines framed by the Supreme Court in the Vishakha case, are also being studied by the committee.