The move is the latest in a skirmish between the web giant and Europe's data protection regulators who view the privacy rules put in place in March by Google as "high risk," although have stopped short of declaring them illegal.
Regulators view the bundling of data on users as potentially constituting a high risk to individuals' privacy.
Google last year consolidated 60 privacy policies into one, combining data collected on individual users across its services, including YouTube, Gmail and social network Google+. Users cannot opt out.
In October, Europe's 27 data regulators gave Google four months to change its approach, listing 12 "practical recommendations" for it to bring its privacy policy into line.
>> Read: Google told to change its privacy policy
On Monday the French privacy regulator, which last year led an initial inquiry into the tech giant's new policy, said it would set up a further inquiry because Google had not yet addressed their concerns.
"Google did not provide any precise and effective answers," the French regulator CNIL said.
"In this context, the EU data protection authorities are committed to act and continue their investigations. Therefore, they propose to set up a working group, led by the CNIL, in order to coordinate their reaction, which should take place before summer."
Google said it did respond to CNIL on 8 January by listing steps already taken to address their concerns.
"We have engaged fully with CNIL throughout the process and will continue to do so," Al Verney, a spokesperson said.
He added that the privacy policy did respect European law.
The pooling of anonymous user data across Google services, is a big advantage when selling online ads.
Google and other large internet groups such as Facebook provide free services to consumers and earn money from selling ads that they say are more closely targeted than traditional TV or radio campaigns.
