Metrics are advantageous for all software development companies to assess and ensure quality. Therefore, integrating metrics is essential throughout the software development process to track, and correct deviations, and improve continuously. In this paper, we examine how to integrate quality assessment through metrics into the Scrum development process through a new approach entitled Metrics for Quality in Scrum (MQScrum). The MQScrum approach makes a valuable contribution to track Scrum projects even if using agile project management tools without slowing teams down. So, it facilitates the teams monitoring quality, discovering problems, and making the appropriate improvements thanks to the MQScrum reports. Firstly, we introduce a Scrum meta-model enhanced by metrics-related concepts. Then, we represent a layered model for our MQScrum approach illustrating the data processing across three layers from the Scrum process layer to the layers of Scrum concepts and finally to that of metrics. Consequently, the proposed solution is an alignment of the Scrum process with a metric-based Scrum system. Finally, it demonstrates process tasks from which pertinent data is collected and then stored in a database based on Scrum and metrics related concepts.