Brain functions such as information processing, learning and memory are commonly associated with changes in synaptic strength, the synaptic plasticity. Extrasynaptic diffusion of transmitters thought to mediate only a modulatory effect. Here I suggest a hypothesis that concentration profile of signaling molecules in the extracellular space can form a "diffuse guiding template" for signal propagation through neuronal network. Such template can be potentially involved in information processing and storage. This hypothesis requires further experimental investigation and, thus, provides a framework for future studies in the field of non-synaptic transmission in the brain.