How to convert NFA with null moves to NFA without null moves?
If $q_j$ is a final state, you already said you would make $q_i$ into a final state. If there's no transitions from $q_j$ to another state in the FSM, then you are staying there forever- either as an accepting state or as a trap state. Either way, staying in $q_i$ is the same as staying in $q_j$ if you can't go anywhere from $q_j$.