A magnetic flowmeter for sensing process fluid flow is provided. The flowmeter includes a tube configured to receive the process fluid flow therethrough. A plurality of electrodes is disposed to contact process fluid. At least one electromagnetic coil is disposed proximate the tube. Flowmeter electronics are configured to drive a current through at least one electromagnetic coil and to sense a signal developed across a plurality of electrodes disposed to contact process fluid. A flexible circuit module is disposed proximate the tube, and has at least one flexible circuit containing a plurality of electrical traces electrically coupled to the flowmeter electronics. The at least one electromagnetic coil includes a first coil in the flexible circuit module that is coupled to the electrical traces.