The local circuitry within olfactory bulb (OB) glomeruli filters, transforms, and facilitates information transfer from olfactory sensory neurons to bulb output neurons. Two key elements of this circuit are glutamatergic tufted cells (TCs) and GABAergic periglomerular (PG) cells, both of which actively shape mitral cell activity and bulb output. A subtype of TCs, the external TCs (eTCs), can synaptically excite PG cells, but there are unresolved questions about other aspects of the glomerular connections, including the extent of connectivity between eTCs and the precise nature of reciprocal interactions between TCs and PG cells. We combined patch-clamp recordings in OB slices and optophysiological tools to investigate local functional connections within glomeruli of mice and rats. When TCs that express cholecystokinin (CCK) were optically suppressed, excitatory inputs to “uniglomerular” PG cells that extend dendrites to one glomerulus were decreased, consistent with TC activation being required for most excitation of these PG cells. However, TC suppression had no effect on EPSCs in eTCs, arguing that TCs make few, if any, direct glutamatergic synaptic connections with eTCs. The absence of synaptic connections among eTCs was also supported by recordings in eTC pairs. Last, we show using similar optical suppression methods that GAD65-expressing PG cells, mainly uniglomerular cells, provide strong inhibition in eTCs. Our results imply that the local network of CCK-expressing TCs form potent reciprocal chemical synaptic connections with GAD65-expressing uniglomerular PG cells but not eTCs. This configuration favors local inhibition over recurrent excitation within a glomerulus, limiting its output.