In the studies on pre-recombination early dark energy (EDE), the evolution of Universe after recombination is usually regarded as ΛCDM-like, which corresponds that the equation of state of dark energy responsible for current accelerated expansion is w = −1. However, in realistic models, w might be evolving. We consider the parametrizations of w with respect to the redshift z in Axion-like EDE and AdS-EDE models, respectively. We performed the Monte Carlo Markov chain analysis with recent cosmological data, and found that the bestfit w(z) is compatible with w 0 = −1, w a = 0 (the cosmological constant) and the evolution of w is only marginally favored, which so has little effect on lifting the bestfit value of H 0 .