Context: Agile maturity models (AMMs) suggest that agile practices are introduced in a certain order. However, whether the order of agile practice introduction as suggested in the AMMs is relevant in industry has not been evaluated in an empirical study. Objectives: In this study, we want to investigate: (1) order of agile practice introduction mentioned in AMMs, (2) order of introducing agile practices in industry, and (3) similarities and differences between (1) and (2). Methods: We conducted a literature survey to identify strategies proposed by the AMMs. We then compared the AMMs’ suggestions to the strategies used by practitioners, which we elicited from a survey and a series of interviews from an earlier study. Results: The literature survey revealed 12 AMMs which provide explicit mappings of agile practices to maturity levels. These mappings showed little agreement on when practices should be introduced. Comparison of the AMMs’ suggestions and the empirical study revealed that the guidance suggested by AMMs are not aligned with industry practice. Conclusion: Currently, AMMs do not provide sufficient information to guide agile adoption in industry. Our results suggest that there might be no universal strategy for agile adoption that works better than others. © 2019 Elsevier Inc.