The file containing the home ministry's recommendation has been sent to the president for a final decision, official sources said.
However, the president is currently on a tour to West Bengal and will be returning tomorrow.
The sources said that the home ministry had given its clearance to these two names. As per the rules, the Delhi government has to take permission of the Centre before carrying out any expansion in its cabinet.
Delhi government can have six cabinet ministers besides the chief minister. At present there is a vacancy of two ministers after Kejriwal sacked Kapil Mishra and Sandeep Kumar, who was embroiled in a controversy after a CD showing him in an objectionable position surfaced.
On Tuesday, Chief Minister Kejriwal had accused the Centre of "stalling" the Delhi government's activities by allegedly holding back files relating to the appointment of two new ministers in his Cabinet.
Mr Kejriwal had said the people of Delhi should not suffer due to the BJP-led NDA government's "enmity" with the Aam Aadmi Party government in Delhi.
Mr Sisodia said the Delhi government had on May 6 sent the files relating to the induction of two AAP MLAs - Rajender Pal Gautam and Kailash Gehlot - in the Delhi Cabinet, but the Centre is yet to clear the same.
(Except for the headline, this story has not been edited by NDTV staff and is published from a syndicated feed.)