The masses of excited charmed mesons are shown to decrease by $sim (50-150)$~MeV due to a flattening of the confining potential at large distances, which effectively takes into account open decay channels. The scale of the mass shifts is similar to that in charmonium for $psi(4660)$ and $chi_{c0}(4700)$. The following masses of the first excitations: $M(2,{}^3P_0)=2874$~MeV, $M(2,{}^3P_2)=2968$~MeV, $M(2,{}^3D_1)=3175$~MeV, and $M(2,{}^3D_3)=3187$~MeV, and second excitations: $M(3,{}^1S_0)=3008$~MeV, $M(3,{}^3S_1)=3062$~MeV, $M(3,{}^3P_0)=3229$~MeV, and $M(3,{}^3P_2) =3264$~MeV, are predicted. The other states with $L=0,1,2$ and $n_r geq 3$ have their masses in the region $M(nL)geq 3.3$~GeV.
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