Any Unknown or Unlisted Aircraft Manufacturer
Flight Crew Instrument; Flight Crew Commercial; Flight Crew Flight Instructor
Communication Breakdown; Confusion; Situational Awareness
ATC Issue All Types; Conflict NMAC
Flight Crew Took Evasive Action
Human Factors; Procedure
Student and I were doing landings on [Runway] 27L before our departure to the practice area at GFK. On one of the patterns; (I believe on the downwind); Tower told us that we needed to keep it a touch and go for jet traffic. We acknowledged but no information was given to where the jet was or what runway it was inbound for. I was looking for the traffic as we moved to short final and did not see it visually or on ADS-B. After completing a shaky soft field landing with a new student; we kept it rolling and at rotation; Tower asked if we could turn crosswind at airport road. It would be right at 30 degrees bank but I felt it was safe so I told them it was possible. At about 2-300 AGL just as I was starting the turn over the road and finishing the reply for the above radio call; I saw an air carrier over the approach lights on short final for [Runway] 35L at near co altitude. I took controls immediately and had to bank nearly 45 degrees to the left in order to avoid a collision with the air carrier. Tower did not seem like it was important to let us know where the traffic was or which runway it was coming in on.Lack of separation and information provided to both aircrews.Better procedures for separating jet and prop traffic especially when using crossing runways. Better communication between ATC and pilot of possible traffic conflicts. Pointing out traffic to aircrews that may be landing close time-wise on intersecting runways.
GA flight instructor on training flight reported NMAC with another aircraft landing on nearby runway at GFK airport.