PA28 and LR75 flight crews reported ATC error resulted in an near midair collision.

Attributes
ACN	1687764
Time
Date	201909
Local Time Of Day	1801-2400
Place
Locale Reference	ZZZ.Airport
State Reference	US
Environment
Flight Conditions	VMC
Light	Daylight
Aircraft 1
Make Model Name	PA-28 Cherokee/Archer/Dakota/Pillan/Warrior
Operating Under FAR Part	Part 91
Flight Phase	Climb
Flight Plan	None
Aircraft 2
Make Model Name	Learjet 75
Operating Under FAR Part	Part 91
Flight Phase	Initial Climb
Flight Plan	IFR
Person 1
Function	Pilot Flying
Qualification	Flight Crew Commercial Flight Crew Multiengine Flight Crew Instrument Flight Crew Flight Instructor
Experience	Flight Crew Last 90 Days 250 Flight Crew Total 4000 Flight Crew Type 4000
Person 2
Function	First Officer
Qualification	Flight Crew Air Transport Pilot (ATP) Flight Crew Instrument Flight Crew Multiengine
Experience	Flight Crew Last 90 Days 100 Flight Crew Total 8200 Flight Crew Type 3000
Events
Anomaly	ATC Issue All Types Conflict NMAC
Miss Distance	Horizontal 300 Vertical 300

Narrative:

During a routine training flight in the traffic pattern at ZZZ; I was flying with a student in the traffic pattern. I had just turned downwind when tower called out to make a sudden left turn. When I did so I saw a learjet that had just turned crosswind from runway X in my line of sight. I pulled power back and pushed the nose down. The learjet was in a hard climb and we missed each other with no problem. It was unnerving and if either myself or the learjet pilot had erred in evasive action; there was a very real possibility of a midair collision.

Original NASA ASRS Text

Title: PA28 and LR75 flight crews reported ATC error resulted in an NMAC.

Narrative: During a routine training flight in the traffic pattern at ZZZ; I was flying with a student in the traffic pattern. I had just turned downwind when Tower called out to make a sudden left turn. When I did so I saw a Learjet that had just turned crosswind from Runway X in my line of sight. I pulled power back and pushed the nose down. The Learjet was in a hard climb and we missed each other with no problem. It was unnerving and if either myself or the Learjet pilot had erred in evasive action; there was a very real possibility of a midair collision.

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.