Narrative:

In cruse receiving flight following from okc approach. Approach issued traffic advisory; 8 O'clock; same altitude; remarked traffic was a 'fast mover'; type unknown and he was not talking to traffic. Student immediately spotted traffic behind our left wing. As the CFI I took command of the aircraft and initiated a climb to evade traffic; and reported a climb to ATC. The military aircraft went behind us about 400 ft away; at nearly the same altitude and filled up both rear windows of our aircraft. The military aircraft did not appear to take evasive action. I reported to approach that the aircraft went behind us; and ATC asked what type of aircraft it was. After the evasive maneuver; we were at 5;900 ft on the altimeter and descended back to our VFR cruising altitude of 5;500 ft; and resumed flight back to ZZZ.

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Original NASA ASRS Text

Title: C152 instructor pilot reported a NMAC with a military aircraft in the vicinity of GOK airport.

Narrative: In cruse receiving flight following from OKC Approach. Approach issued traffic advisory; 8 O'clock; same altitude; remarked traffic was a 'fast mover'; type unknown and he was not talking to traffic. Student immediately spotted traffic behind our left wing. As the CFI I took command of the aircraft and initiated a climb to evade traffic; and reported a climb to ATC. The military aircraft went behind us about 400 ft away; at nearly the same altitude and filled up both rear windows of our aircraft. The military aircraft did not appear to take evasive action. I reported to approach that the aircraft went behind us; and ATC asked what type of aircraft it was. After the evasive maneuver; we were at 5;900 ft on the altimeter and descended back to our VFR cruising altitude of 5;500 ft; and resumed flight back to ZZZ.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.