Motivated by recent experimental advancements to explore and identify the new singly charmed baryons at particle accelerators like the LHCb, we perform a study on $\Sigma_{c}$ baryons by applying the quark-diquark structure of baryons. The Regge relation, derived in the framework of the relativistic flux tube model, is used to find the spin average mass of the different orbital excitations. Further, we include spin-dependent interactions in the j-j coupling scheme to find the spin-dependent splitting. Our mass predictions for states belonging to the $1F$- and $1G$-waves can help future experimental studies detect these unobserved states of the $\Sigma_{c}$ baryonic family.