A method for producing a modified sawdust sorbent. The method involves sulfonating sawdust with sulfuric acid and oxidizing the sulfonated sawdust with hydrogen peroxide. The method yields a modified sawdust sorbent containing sulfonated and oxidized cellulose. The modified sawdust sorbent has a higher surface area, higher organic dye adsorption capacity, and more rapid organic dye adsorption rate than unmodified sawdust. A method for organic dye removal from water includes using the modified sawdust sorbent to absorb dyes from water.