Gupta was relieved from his post on December 5 and directed to report to the Union Ministry of Home Affairs.
Last week, a woman police sub-inspector and a constable were suspended after they allegedly offered bribe to Gupta to the inquiry into complaints against them.
The constable was facing a departmental inquiry in a case related to indiscipline.
Besides, a departmental inquiry was on against the sub-inspector after she along with another constable allegedly assaulted a man near Panaji in 2014 and took away his car.
"The departmental inquiries conducted by Gupta would be reviewed by a senior officer who will take charge of the matter," he said.
Parrikar said Gupta has been relieved but that does not mean he has been given a clean chit in the matter.