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.
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.
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Deputy Chief Minister Manish Sisodia also said it amounted to violation of the Constitution and accused the Centre of "paralysing" the Delhi government.
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.