A novel soybean cultivar, designated SG4911NRR, is disclosed. The invention relates to the seeds of soybean cultivar SG4911NRR, to the plants of soybean SG4911NRR and to methods for producing a soybean plant produced by crossing the cultivar SG4911NRR with itself or another soybean variety. The invention further relates to hybrid soybean seeds and plants produced by crossing the cultivar SG4911NRR with another soybean cultivar.