The emission of waves by a source is often analyzed in the Fourier domain, which hampers the discovery of transient wave phenomena. Based on a fully temporal analysis, the authors observe in acoustic experiments that the energy can flow backward for short durations in the near field of a deep-subwavelength source in a homogenous medium. Through an impedance analysis, this negative transient flux phenomenon is ascribed to the geometry of the outgoing field. This finding is generic and may find applications in emission and scattering scenarios and could be useful for designing time-varying media.