Healthcare is a data-intensive domain, once a considerable amount of data is daily produced due to monitoring patients, managing identities, producing medical records and processing medical insurance claims. Hence, security, besides other quality requirements, is prominent to preserve the confidentiality and integrity of such data. Blockchain technology has received attention as a mean to support secure transactions and records, including in the healthcare domain. The main contribution of this paper is providing preliminary results of an investigation on the recent literature on how the inherent characteristics of blockchain can enhance or hinder particular quality requirements in healthcare systems. We provide a preliminary analysis of five essential quality requirements for healthcare domain, besides pointing for advances that must still be achieved.