Discriminating small moving objects in complex visual environments is a significant challenge for autonomous micro robots that are generally limited in computational power. Relying on well-evolved visual systems, flying insects can effortlessly detect mates and track prey in rapid pursuits, despite target sizes as small as a few pixels in the visual field. Such exquisite sensitivity for small target motion is known to be supported by a class of specialized neurons named as small target motion detectors (STMDs). The existing STMD-based models normally consist of four sequentially arranged neural layers interconnected through feedforward loops to extract motion information about small targets from raw visual inputs. However, feedback loop, another important regulatory circuit for motion perception, has not been investigated in the STMD pathway and its functional roles for small target motion detection are not clear. In this paper, we assume the existence of the feedback and propose a STMD-based visual system with feedback connection (Feedback STMD), where the system output is temporally delayed, then fed back to lower layers to mediate neural responses. We compare the properties of the visual system with and without the time-delay feedback loop, and discuss its effect on small target motion detection. The experimental results suggest that the Feedback STMD prefers fast-moving small targets, while significantly suppresses those background features moving at lower velocities.