Abstract In the semi-constrained next-to minimal supersymmetric standard model (scNMSSM, or NMSSM with non-universal Higgs mass) under current constraints, we consider a scenario where is the SM-like Higgs, is a singlino-dominated LSP; and are mass-degenerated, light, and higgsino-dominated next-to-lightest supersymmetric particles (NLSPs). We investigate the constraints of these NLSPs by searching for supersymmetry particles at the LHC Run-I and Run-II and discuss the possibility of discovering these NLSPs in the future. We arrive at the following conclusions: (i) With all data of Run I and up to data of Run II at the LHC, the search results by ATLAS and CMS still cannot exclude the higgsino-dominated NLSPs of . (ii) When the mass difference with is smaller than , and have opposite preferences with regard to decaying to or . (iii) When the mass difference between NLSP and LSP is larger than , most samples can be verified at the level with future data at the LHC. Meanwhile, with data at high-luminosity LHC (HL-LHC), almost all of the samples can be verified at the level, even if the mass difference is insufficient. (iv) The funnel and the funnel mechanisms for the singlino-dominated LSP annihilation cannot be distinguished by searching for NLSPs.