Iranian authorities regularly block Twitter, Facebook and other social networking sites considered damaging to the values of the Islamic republic.
Mohammad Ali Asfani, a member of the Iranian committee for filtering the web, said the two months would allow authorities to contact Instagram over secure access to its contents.
"If this is done, we will not filter Instagram," he said, quoted by ISNA news agency.
Last month, Iran blocked access to an Instagram page devoted to the lifestyle of Tehran's young elite that stirred indignation in the sanctions-hit country.
(Also see: Iran Court Orders Blocking of Instagram: Report)
But ultra-conservatives who control key institutions are opposed.