Dielectric techniques, including thermally stimulated depolarization currents and isothermal discharging currents measurements in addition to classical dielectric relaxation spectroscopy, were employed to investigate molecular mobility in the poly(imide-amide)poly(ethylene adipate) (PIA-PEA) hybrid materials with short (M-n = 1.300 g mol(-1) ) PEA crosslinks. The techniques used covered together the frequency range from 10(-4) to 10(6) Hz. Secondary relaxations, the primary a relaxation of the PEA component, interfacial polarization and de conductivity were studied. Significant reduction of the magnitude and broadening of the response is observed for the a relaxation of the PEA component in the hybrids. The results obtained have been analyzed in terms of morphological characterization. They suggest appearance of long-range connectivity of the PEA component in the hybrids at PEA contents between 60 and 70 wt%.