A division bench comprising justices K M Joseph and V K Bisht asked the Centre to file its response by April 5 after the Union government's counsel Rakesh Thapaliyal sought more time from the court to furnish its reply.
Hearing on the petition filed on behalf of Rawat bysenior Supreme Court lawyer and former Union minister Kapil Sibal will be resumed on April 6 by the court.
He has been asked to add the prayer to his petition by April 4.
Parliament was prorogued recently as an ordinance cannot be promulgated when it is in session.
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The Union Cabinet had sent a recommendation to the President seeking promulgation of an ordinance on what it termed as a "defeated" appropriation bill which could not be passed by Uttarakhand Assembly.
Demand for a division of votes on the appropriation bill by Opposition as well as ruling party MLAs in the state Assembly has been at the root of the ongoing political turmoil in Uttarakhand.
"We had challenged the ordinance. We had said it was unconstitutional. Notice has been issued to the Centre asking it to respond by April 5. The next date for hearing is April 6," Sibal told reporters outside the high court in Nainital.