Biological invasions are occurring frequently and with great impact to agricultural production and other ecosystem services. In response to this, the Australian Weed Risk Assessment (AWRA) was created to assess the potential 'weediness' of plants based on answers to questions related to biogeography, undesirable attributes, and biology or ecology. This basic model has been expanded and adapted for use on other taxa, often without adequate validation. Since invasive insect crop pests are a major economic cost to agricultural production, there is interest in using an expanded model for insects. Here, we review traits related to invasiveness of insects based on a systematic review of the literature. We then compare the identified invasive traits of insects with those identified for plants in the AWRA. Using insects as a case study, we illustrate that although there is some overlap in invasive traits, there are many unique traits related to invasion for both insects and plants. For insects, these traits relate largely to social behaviour. This lack of congruence may also be the case for other taxa. To increase predictive power, a taxon-specific risk assessment tool and deliberate verification are required.