ABSTRACT The aim of this work was to study on a new low-elastic textile that fulfilled the criteria of fabrics for the manufacture of compression garments to treat lymphedema. The evolution of Godoy & Godoy compression sleeves was performed by following the patients treated for arm lymphedema. Sixty-six patients with ages ranging from 35 to 83 years and a mean of 58.8 years were included in this study. Diagnosis, by the clinical evaluation confirmed by the volumetry, was defined as a volume difference of more than 200 mL between the arms. All the participants were submitted to treatment sessions once, or two times weekly in an outpatient setting. The material used for the compression sleeve in this study was commercialized in Brazil under the name of Gorgurão(r). When high alterations in the pattern of sleeves were made, the patients were monitored by weekly volumetric assessments. The criterion to maintain the modifications in the design was that the hand did not present with edema. By the end of the study, the design of the sleeve was changed so as not to use compression therapy of the hands in 81.8% of the cases; 12.2% continued with compression of the hand, 3.0% stopped using compression completely and 3.0% used only a glove. Thus, Godoy & Godoy compression sleeves could be an efficient option for compression in the treatment of arm lymphedema as they provided better independence in day-to-day activities.