Using the IRAM 30m telescope we have obtained seven new, deep CO J(1−0) and J(2−1) observations of low surface brightness (LSB) galaxies. Five of the galaxies have no CO detected to extremely low limits (0.1 – 0.4 K km s−1 at J(1−0)), while two of the galaxies, UGC 01922 and UGC 12289, have clear detections in both line transitions. When these observations are combined with all previous CO obse...