The 2001 Chevy Suburban's oil capacity depends on the engine. There are several engine options for that year. You'll need to check your owner's manual or the sticker under the hood to determine your engine size (e.g., 4.8L, 5.3L, 5.7L, 6.0L). Then, you can find the correct oil capacity.
Without knowing the engine size, I cannot give you a definitive answer.