I. Determine the maximum tolerated dose of PGG beta glucan in combination with alemtuzumab and rituximab. (Phase I) II. Assess the rate of complete response of patients with high-risk, early-intermediate stage CLL who are treated with alemtuzumab, rituximab, and PGG beta glucan before meeting standard National Cancer Institute-International Workshop on Chronic Lymphocytic Leukemia (NCI-IWCLL) criteria (Hallek, Cheson et al. 2008) for treatment. (Phase II)