The Parker Solar Probe (PSP) Fields Experiment (FIELDS) uses Radio Frequency Spectrometer (RFS) data and Quasi-Thermal Noise Spectroscopy (QTN) to determine the temperature and density of electrons in the heliosphere. The FIELDS antennas typically operate with a negative bias current. This current increases the level of shot noise in RFS data, which can make QTN spectroscopy more difficult. The effect of the bias current on the shot noise spectrum is quantified by comparing spectra with a nominal negative bias current and spectra with near zero bias. The applied bias current increases the amplitude of the shot noise spectra which scales with the added bias current, consistent with QTN theory. Quantifying the effects of the applied bias current on the shot-noise spectrum can improve determination of electron parameters from QTN.