A search for CP violation using T-odd correlations is performed using the four-body D0→ K+K-π+π−decay, selected from semileptonic B decays. The data sample corresponds to integrated luminosities of 1.0 fb-1and 2.0 fb-1recorded at the centre-of-mass energies of 7TeV and 8TeV, respectively. The CP-violating asymmetry (Formula presented.) is measured to be (0.18 ± 0.29 (stat) ± 0.04 (syst))%. Searches for CP violation in different regions of phase space of the four-body decay, and as a function of the D0decay time, are also presented. No significant deviation from the CP conservation hypothesis is found.