We study the semileptonic B→BBˉ′LLˉ′ decays with BBˉ′ (LLˉ′) representing a baryon (lepton) pair. Using the new determination of the B→BBˉ′ transition form factors, we obtain B(B−→ppˉμ−νˉμ)=(5.4±2.0)×10−6 agreeing with the current data. Besides, B(B−→Λpˉννˉ)=(3.5±1.0)×10−8 is calculated to be 20 times smaller than the previous prediction. In particular, we predict B(Bˉs0→pΛˉe−νˉe,pΛˉμ−νˉμ,pΛˉτ−νˉτ)=(2.1±0.6,2.1±0.6,1.7±1.0)×10−6 and B(Bˉs0→ΛΛˉννˉ)=(0.8±0.2)×10−8, which can be accessible to the LHCb experiment.