A hypothesis is proposed herein, suggesting that a pion-nuclear resonance may be observed in the $alpha+dto{}^6mathrm{Li}(3.563)+pi^0$ reaction. The resonance has a $pi NNalpha$ structure, containing $alpha NN$ and $pi NN$ subsystems. The former corresponds to the $A=6$ isotriplet ($^6mathrm{He}_text{g.s.}$, $^6mathrm{Li}(3.563)$, $^6mathrm{Be}_text{g.s.}$), whereas the latter is a hypothetical $NN$-decoupled dibaryon. We propose an experiment to search for this resonance using the $^7mathrm{Li}(p,d)$ reaction.