An ultrasonic flow measurement system comprising: - a flow tube for the fluid whose flow rate is to be determined; - at least two ultrasound transducer circuitry (31, 32, 33) provided on the outer side of the flow tube, wherein at least one of the at least two ultrasound transducer circuitry (32, 32, 33) comprises an ultrasound transmitter (11, 11a, 11b, 11c) that is arranged for transmitting ultrasound signals through said fluid in a transmitting phase, and wherein at least another one of the at least two ultrasound transducer circuitry (31, 32, 33) comprises an ultrasound receiver (12, 12a, 12b) that is arranged for receiving transmitted ultrasound signals in a receiving phase; - at least one receiving circuit (31, 32, 33) that is arranged for reading out the ultrasound receiver (12, 12a, 12b) in the receiving phase; and - control means connected to the at least two ultrasound transducer circuitry (31, 32, 33) and to the at least one receiving circuit (31, 32, 33); - wherein the flow measurement system comprises an ultrasound damping layer provided on the outer jacket of the flow tube, wherein the ultrasound damping layer is provided such that it surrounds the outer jacket of the flow tube and is in contact with both the ultrasound transmitter (11, 11a, 11b, 11c) and the ultrasound receiver (12, 12a, 12b); and - wherein the speed of sound in the material of the flow tube substantially exceeds the speed of sound in the material of the ultrasound damping layer, characterized in that - at least the ultrasound transmitter (11, 11a, 11b, 11c) comprises a ring-shaped oscillator (11, 11a, 11b, 11c) provided in acoustic contact with the outer jacket of the flow tube, and in that - the wall thickness or radial thickness of the damping layer surrounding the ultrasound transducers (11, 11a, 11b, 11c; 12, 12a, 12b) is at least equal to the radius of the flow tube. - a flow tube for the fluid whose flow rate is to be determined; - at least two ultrasound transducer circuitry (31, 32, 33) provided on the outer side of the flow tube, wherein at least one of the at least two ultrasound transducer circuitry (32, 32, 33) comprises an ultrasound transmitter (11, 11a, 11b, 11c) that is arranged for transmitting ultrasound signals through said fluid in a transmitting phase, and wherein at least another one of the at least two ultrasound transducer circuitry (31, 32, 33) comprises an ultrasound receiver (12, 12a, 12b) that is arranged for receiving transmitted ultrasound signals in a receiving phase; - at least one receiving circuit (31, 32, 33) that is arranged for reading out the ultrasound receiver (12, 12a, 12b) in the receiving phase; and - control means connected to the at least two ultrasound transducer circuitry (31, 32, 33) and to the at least one receiving circuit (31, 32, 33); - wherein the flow measurement system comprises an ultrasound damping layer provided on the outer jacket of the flow tube, wherein the ultrasound damping layer is provided such that it surrounds the outer jacket of the flow tube and is in contact with both the ultrasound transmitter (11, 11a, 11b, 11c) and the ultrasound receiver (12, 12a, 12b); and - wherein the speed of sound in the material of the flow tube substantially exceeds the speed of sound in the material of the ultrasound damping layer, characterized in that - at least the ultrasound transmitter (11, 11a, 11b, 11c) comprises a ring-shaped oscillator (11, 11a, 11b, 11c) provided in acoustic contact with the outer jacket of the flow tube, and in that - the wall thickness or radial thickness of the damping layer surrounding the ultrasound transducers (11, 11a, 11b, 11c; 12, 12a, 12b) is at least equal to the radius of the flow tube.