This paper presents the results of a systematic review conducted in order to identify the challenges integrating user-centered design and Scrum, as well as the techniques and methodologies that would allow the Scrum Team to overcome these challenges. A total of 416 studies where identified, out of which only 29 studies where selected for this review. According to the analysis, most challenges are related to the insufficient importance assigned to Usability and the User Experience in general, insufficient communication between designers and developers, insufficient resources assigned to Scrum for upfront activities, and clients trying to represent final users without being aware of their real needs. Additionally, 30 techniques and methodologies have been identified as possible solutions to these challenges, which should be further analyzed to determine whether they should be adapted and incorporated into the Scrum framework.