Kachru (1988) and Sridhar and Sridhar (1992) argue that the spread of English as a world language increases the types of context in which English is learnt today. The sociolinguistic realities of world Englishes learners today challenge the validity of some second-language acquisition theories. One of the theoretical limitations of existing second-language acquisition theories is the dependence upon the notion of integrativeness to explain success in second-language acquisition. In this paper, the notion of integrativeness is problematized from an empirical and theoretical perspective. The main findings are: (1) second-language acquisition theories that rely on any assumption of integrativeness should not be applied uncritically to sociolinguistic contexts where learners are acquiring a variety of world English today; (2) it seems that the concentric circle description of the sociolinguistic realities of world Englishes speakers needs to be adjusted.