Bacteria form groups comprised of cells and secreted adhesive matrix that controls their spatial organization. These groups - termed biofilms - can act as refuges from environmental disturbance and from biotic threats, including phages. Despite the ubiquity of temperate phages and bacterial biofilms, temperate phage propagation within biofilms has never been characterized on multicellular spatial scales. Here, we leverage several approaches to track temperate phages and distinguish between lytic and lysogenic infections. We determine that lysogeny within E. coli biofilms most often occurs within a predictable region of cell group architecture. Because lysogens are generally found on the periphery of large groups, where lytic viral activity also reduces local structural integrity, lysogens are predisposed to disperse and are over-represented in biofilms formed downstream of the original biofilm-phage system. Comparing our results with those for virulent phages reveals that the temperate phages possess previously unknown advantages for propagation in architecturally heterogeneous biofilm communities.