We report new CHARA/MIRC interferometric observations of the Cepheid archetype δ Cep, which aimed at detecting the newly discovered spectroscopic companion. We reached a maximum dynamic range ∆H = 6.4, 5.8, and 5.2 mag, respectively within the relative distance to the Cepheid r < 25 mas, 25 < r < 50 mas and 50 < r < 100 mas. Our observations did not show strong evidence of a companion. We have a marginal detection at 3σ with a flux ratio of 0.21 %, but nothing convincing as we found other possible probable locations. We ruled out the presence of companion with a spectral type earlier than F0V, A1V and B9V, respectively for the previously cited ranges r. From our estimated sensitivity limits and the Cepheid light curve, we derived lowerlimit magnitudes in the H band for this possible companion to be H comp > 9.15, 8.31 and 7.77 mag, respectively for r < 25 mas, 25 < r < 50 mas and 50 < r < 100 mas. We also found that to be consistent with the predicted orbital period, the companion has to be located at a projected separation < 24 mas with a spectral type later than a F0V star.