This paper proposes a novel approach that integrates the capability of empirical validation of structural equation modelling (SEM) and the prediction ability of Bayesian networks (BN). The Hybrid SEM–BN approach was used as a decision support framework to examine the interplay between salient organisational constructs and their ability to influence engineers’ career satisfaction in the Australian Public Service (APS). The results emphasise that the ambidextrous culture for innovation was the most important factor that needed to be implemented in their organisation. Managerial implications are recommended for senior managers on how they can implement innovation culture to increase workplace innovation, which could, in turn, help reduce the turnover rate of engineers employed in the APS.