Alpha-function and the dreaming process are central concepts in Wilfred Bion's thinking. Nevertheless, Bion's description of how alpha-function operates is intentionally abstract and unsaturated, leaving room for further exploration. In this work, the philosophy of Henri Bergson is used in order to clarify the nature of alpha. Bergson maintained that the person tends to understand the world and themself in an abstract-spatial way (with a tendency toward the intellect, perception, and immediate action in the present), while unconsciously downplaying the importance of temporal aspects of reality (such as memory, past, and intuition). The main argument raised in this paper is that due to Bion's implicit spatial understanding of memory as a kind of mental storage place in which alpha-elements are kept, a false problem is created: How can alpha-elements be part of the productive process (alpha-function) while being the product of the same process? Adopting the Bergsonian understanding of memory as a living and dynamic body of knowledge that integrates the raw sensory-emotional impressions in the present highlights alpha's temporal aspects. This concept is demonstrated through one of Bion's analytic hours.