We consider a specific class of events of the SUSY particle production at the LHC without missing p_T. Namely, we discuss the chargino pair production with a further decay into the W-boson and the neutralino when the masses of the chargino and neutralino differ by 80-90 GeV. In this case, in the final state one has two Ws and missing E_T but no missing P_T. The produced neutralinos are just boosted along Ws. For a demonstration we consider the MSSM with non-universal gaugino masses. In this case, such events are quite probable in the region of parameter space where the lightest chargino and neutralino are mostly gauginos. The excess in the W production cross-section reach about 10 % over the Standard Model background. We demonstrate that the LHC experiments, which presently measure the WW production cross section at the 8 % level can probe chargino mass around 110 GeV within the suggested scenario, which is not accessible via other searches. If the precision of WW cross section measurement at the LHC will achieve the 3 % level, then it would probe chargino masses up to about 150 GeV within the no missing P_T scenario.