Advocates for internationalisation of the undergraduate psychology curriculum anticipate a variety of beneficial outcomes strongly associated with forms of intellectual growth -- including critical thinking, appreciation for diversity, and global awareness -- that are the defining purpose of a university education. As a prelude to an intervention to internationalise an introductory psychology course, we examined relationships between measures of these anticipated benefits in an online survey of 107 undergraduate students enrolled in an introductory psychology course at a public research university in the US. Results indicated moderately strong relationships among measures of anticipated benefits of internationalisation but little relationship with conventional measures of academic performance. These results raise doubts about any necessary connection between anticipated benefits of internationalisation and conventional understandings of educational success. Accordingly, results motivate greater reflection among both proponents of internationalisation and psychologists in general about the learning outcomes that inform conventional approaches to undergraduate education in psychology.