The airports are under the control of the IAF, which has allowed limited civilian aircraft movements.
Sources said the Directorate General of Civil Aviation (DGCA) has sought IAF approval for increasing the number of flights at the two airports from the current eight to 12 per hour.
"Airlines want to introduce more flights to the two airports. They (the IAF) have agreed to consider our request," a senior DGCA official said.
While awaiting approval, the aviation regulator has also written to the J&K government seeking increased security for airliners at the two airports.