Hybrid ccg of quantum numbers 1 - - are considered in a quark model with constituent quarks and gluon. The lowest J P =1 - states may be built in two ways, l g =1 (gluon excited) corresponding to an angular momentum between the gluons and the cc system, while l c c =1 (quark excited) corresponds to an angular momentum between the c and the c. The lowest lying hybrid J P =1 - state in the flux tube model is similar to the l g =1 in the quark-gluon model. In particular it verifies the selection rule that it cannot decay into two fundamental mesons. The l q q =1 hybrid may decay into two fundamental mesons, but with decay widths larger than 1 GeV, which tells that they do not really exist as resonant states. using a chromoharmonic potential, we find no mixing between the l g =1 and l c c =1. More realistic potentials might induce a strong mixing between them, implying that no hybrid meson exist. If, on the contrary, such a strong mixing does not occur, we find, in agreement with the flux tube model, that only the l g =1 appears as a real resonant state. In such a case, hybrid mesons may exist as resonances only if they are decoupled from the ground state channel, which explains the difficulty to observe them experimentally. We reconsider accordingly the Ono-Close-Page scenario of mixing between charmonium and charmed-hybrid to explain the anomalies around 4.1 GeV. We find a very small mixing between radially excited charmonium and hybrid mesons, which forbids considering the ψ(4.040) and ψ(4.160) as combinations of 3S charmonium and l g =1 hybrid meson with a large mixing.