Simultaneous and sequential segregation form the basis of auditory scene analysis and are likely involved in concurrent speech segregation. However, previous work showed that speech-in-noise perception was uncorrelated with simultaneous segregation, whereas it appeared to be related to the pure-tone fusion threshold of sequential streaming. The current study aimed to clarify the relationships between pitch-based speech-in-speech segregation, pitch-based streaming, and frequency selectivity. Twenty-three listeners with close to normal hearing were involved. Speech-in-speech perception was measured using words presented in a time-reversed single talker background, with various pitch differences between target and masker. Streaming performance was measured using an objective order-naming task on vowel sequences. Auditory filter widths were derived using a notch-noise method. Results showed a correlation between the effect of pitch on speech-in-speech perception and the effect of pitch on streaming performance. However, frequency selectivity was found to correlate with average speech-in-speech perception but not with streaming, and only in the region of the second formant. These latter results are consistent with the hypothesis that pitch-based streaming probably relies on pitch discrimination, which is only poorly correlated to frequency selectivity. Further, these results suggest that mild impairments in frequency selectivity do not systematically impair pitch-based streaming.