Method for operating a fuel supply arrangement for an internal combustion engine, the fuel supply arrangement comprising - a fuel reservoir, - a pump hydraulically coupled to the fuel reservoir for pressurizing the fuel in the fuel reservoir, - at least one fuel injection valve hydraulically coupled to the fuel reservoir for dispensing fuel from the fuel supply arrangement through an injection nozzle of the fuel injection valve, the fuel injection valve comprising a valve needle which is displaceable for sealing and unsealing the injection nozzle and an electromagnetic actuator assembly having a solenoid for displacing the valve needle, and - a control device for energizing the solenoid and for measuring an electrical current through the solenoid, the method comprising: - energizing the solenoid to displace the valve needle to a fully open position for unsealing the injection nozzle by means of operating the control device in such fashion that the electrical current through the solenoid, during a first period of time (T 1), rises to a peak value (I P) and subsequently decreases to a value within a first current range (DI 1), and, in a subsequent second period of time (T 2), is maintained within the first current range (DI 1), the upper limit (I 1U) of the first current range (DI 1) having a smaller magnitude than the peak value (I P) in the first period of time (T 1), - operating the control device for measuring the electrical current through the solenoid at least during the second period of time (T 2), - determining a point in time (to) at which the valve needle has reached the fully open position by means of evaluating the measured electrical current, - inferring the fuel pressure in the fuel reservoir from the determined point in time (to) at which the valve needle has reached the fully open position, wherein determining the point in time (to) at which the valve needle has reached the fully open position comprises detecting a current minimum (I 1L) in the second period of time (T 2). - a fuel reservoir, - a pump hydraulically coupled to the fuel reservoir for pressurizing the fuel in the fuel reservoir, - at least one fuel injection valve hydraulically coupled to the fuel reservoir for dispensing fuel from the fuel supply arrangement through an injection nozzle of the fuel injection valve, the fuel injection valve comprising a valve needle which is displaceable for sealing and unsealing the injection nozzle and an electromagnetic actuator assembly having a solenoid for displacing the valve needle, and - a control device for energizing the solenoid and for measuring an electrical current through the solenoid, - energizing the solenoid to displace the valve needle to a fully open position for unsealing the injection nozzle by means of operating the control device in such fashion that the electrical current through the solenoid, during a first period of time (T 1), rises to a peak value (I P) and subsequently decreases to a value within a first current range (DI 1), and, in a subsequent second period of time (T 2), is maintained within the first current range (DI 1), the upper limit (I 1U) of the first current range (DI 1) having a smaller magnitude than the peak value (I P) in the first period of time (T 1), - operating the control device for measuring the electrical current through the solenoid at least during the second period of time (T 2), - determining a point in time (to) at which the valve needle has reached the fully open position by means of evaluating the measured electrical current, - inferring the fuel pressure in the fuel reservoir from the determined point in time (to) at which the valve needle has reached the fully open position, wherein determining the point in time (to) at which the valve needle has reached the fully open position comprises detecting a current minimum (I 1L) in the second period of time (T 2).