Time-resolved laser-induced fluorescence depolarization measurements of internal motions in lysozyme are presented. The fluorescent dye eosin binds in a one-to-one complex with the enzyme, and is used both to measure the overall tumbling time constants and to probe the motions of residues in the region of binding. The precision and accuracy of the present method for determining the overall tumbling time constants compare favorably with those from other methods used in the literature. The extent of the internal motions, as described by a model independent order parameter, S2, is temperature dependent, and changes when the inhibitor N,N',N"-triacetylchitotriose, (GlcNAc)3, is bound to the active site of the enzyme. The observed temperature dependence and changes in S2 upon binding of (GlcNAc)3 are interpreted in terms of a nonharmonic model of the effective potential that is consistent with the picture of concerted motions in the protein. The values of the parameters of the potential that reproduce the data with and without the bound inhibitor imply that (GlcNAc)3 binding causes an increase in the rigidity of the protein, which agree qualitatively with other results on the lysozyme-(GlcNAc)3 system.