Even with the widespread adoption of newborn hearing screening and Early Hearing Detection and Intervention systems, infants who are hard-of-hearing (IHH) remain at increased risk for poor or delayed development of auditory and speech perception skills. Speech perception is positively correlated with better auditory development on functional auditory skills and a variety of language outcomes. However, clinical utilization of speech perception tests has not been broadly accepted. One clinically viable tool to assess speech perception during infancy is our electroencephalography (EEG) procedure, which has been validated as an objective measure of speech discrimination. However, we have not examined the development of infant speech perception among IHH and infants with normal hearing (INH). Perceptual attunement—or “narrowing”—is a model of perceptual learning that posits that perceptual abilities are shaped by environmental experiences over the first year of life. Here, we describe our adapted EEG methods to examine the development of infant speech perception to study periods of perceptual attunement between IHH and INH. Preliminary findings confirm that at 3 months of age, infants demonstrate neural encoding of native and non-native speech sounds, and at 6 months of age results suggest a decrease in non-native speech sound encoding.