We perform a systematic exploration of the possible doubly charmed molecular pentaquarks composed of $Sigma_c^{(*)}D^{(*)}$ with the one-boson-exchange potential model. After taking into account the $S-D$ wave mixing and the coupled channel effects, we predict several possible doubly charmed molecular pentaquarks, which include the $Sigma_cD$ with $I(J^P) = 1/2(1/2^-)$, $Sigma_c^*D$ with $1/2(3/2^-)$, and $Sigma_cD^*$ with $1/2(1/2^-)$, $1/2(3/2^-)$. The $Sigma_cD$ state with $3/2(1/2^-)$ and $Sigma_cD^*$ state with $3/2(1/2^-)$ may also be suggested as candidates of doubly charmed molecular pentaquarks. The $Sigma_cD$ and $Sigma_c^*D$ states can be searched for by analyzing the $Lambda_cDpi$ invariant mass spectrum of the bottom baryon and $B$ meson decays. The $Sigma_cD^*$ states can be searched for in the invariant mass spectrum of $Lambda_cD^*pi$, $Lambda_cDpipi$ and $Lambda_cDpigamma$. Since the width of $Sigma_c^*$ is much larger than that of $D^*$, $Sigma_c^*Drightarrow Lambda_cDpi$ will be the dominant decay mode. We sincerely hope these candidates for the doubly charmed molecular pentaqurks will be searched by LHCb or BelleII collaboration in the near future.
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