This paper proposes a framework to formulate for a new test applicable to artificial intelligence entities after they will undoubtedly pass the Turing test. In this sense, the study applied an exploratory methodology to formulate the general framework for this test. The main result of this study is The Growth and Realization of Autonomous Wisdom (GROW-AI) Test, which is a test to answer the question ‘Can machines grow up?’ The answer to this question will be found by passing the GROW-AI Test. The work is original regarding the question as it aims to answer and the general framework proposed for the GROW-AI Test.