Using information processing theory (IPT) as the theoretical lens and incorporating various literatures following the IPT lens (e.g., dual-threshold in signal detection), this article develops a two-process model of innovation adoption decision making, accounting for the possibility for potential adopters (at different levels) to make adoption decisions (adopt, do not adopt) with or without an intensive evaluation of the innovation. Specifically, this article proposes that there is an attention process prior to the extensively investigated intensive evaluation process; potential adopters may make adoption decisions (adopt, do not adopt) at the end of the attention process or defer making decisions until after an intensive evaluation is conducted. The impacts of innovation attributes on various influence targets (i.e., relative advantage belief strength, adoption threshold and rejection threshold) during the less examined attention process are also discussed. This article may contribute to the innovation adoption literature and provide practical implications for innovation proponents/detractors regarding how to craft sensegiving messages influencing potential adopters' decision making.