We have studied the spectral time variations of candidate luminous blue variable stars (cLBV) in two low-metallicity blue compact dwarf galaxies, DDO 68 and PHL 293B. The LBV in DDO 68, located in H ii region #3, shows an outburst, with an increase of more than 1000 times in Hα luminosity during the period 2008-2010. The broad emission of the H i and He i lines display a P Cygni profile, with a relatively constant terminal velocity of ∼800 km/s, reaching a maximum luminosity L(Hα) of ∼ 2×10 38 erg/s, with a FWHM of ∼1000-1200 km/s. On the other hand, since the discovery of a cLBV in 2001 in PHL 293B, the fluxes of the broad components and the broadto-narrow flux ratios of the H i and He i emission lines in this galaxy have remained nearly constant over 16 years, with small variations. The luminosity of the broad Hα component varies between ∼2×10 38 erg/s and ∼10 39 erg/s, with the FWHM varying in the range ∼500-1500 km/s. Unusually persistent P Cygni features are clearly visible until the end of 2020 despite a decrease of the broad-to-narrow flux ratio in the most recent years. A terminal velocity of ∼800 km/s is measured from the P Cygni profile, similar to the one in DDO 68, although the latter is 3.7 more metal-deficient than PHL 293B. The relative constancy of the broad Hα luminosity in PHL 293B suggests that it is due to a long-lived stellar transient of type LBV/SN IIn.