The question whether an &eegr;NNquasi‐bound state exists is theoretically investigated. One solves the three‐body equation for the &pgr;NNand &eegr;NNcoupled systems. The coupling occurs through theS11resonance which connects with both the &pgr;Nand &eegr;Nchannels. One finds a pole structure near &eegr;NNthreshold (&sqrt;s=2430 MeV) in theI=0, JP=1−&eegr;dscattering amplitude.