The purpose of this study is to assess the safety and tolerability of imatinib mesylate (Gleevec) in patients with systemic sclerosis (scleroderma). Gleevec is a medication already FDA approved for the treatment of chronic myelogenous leukemia (CML), gastrointestinal stromal tumors (GIST), dermatofibrosarcoma protuberans tumors, Philadelphia chromosome-positive acute lymphoblastic leukemia, hypereosinophilic syndrome, and aggressive systemic mastocytosis. In-vitro studies have suggested that imatinib may inhibit collagen production by scleroderma fibroblasts, and in mouse models of fibrosis imatinib has been shown to decrease skin thickness.