diff --git a/packages/block-editor/src/components/block-bindings/attribute-control.js b/packages/block-editor/src/components/block-bindings/attribute-control.js
index b92ae3abbfe696..62c1bbf901b8d8 100644
--- a/packages/block-editor/src/components/block-bindings/attribute-control.js
+++ b/packages/block-editor/src/components/block-bindings/attribute-control.js
@@ -50,10 +50,15 @@ export default function BlockBindingsAttributeControl( {
 				getBlockType,
 			} = unlock( select( blocksStore ) );
 
-			const _attributeType =
-				getBlockType( blockName ).attributes?.[ attribute ]?.type;
+			const _attribute =
+				getBlockType( blockName ).attributes?.[ attribute ];
+
+			if ( _attribute?.enum ) {
+				return {};
+			}
+
 			const attributeType =
-				_attributeType === 'rich-text' ? 'string' : _attributeType;
+				_attribute?.type === 'rich-text' ? 'string' : _attribute?.type;
 
 			const sourceFields = {};
 			Object.entries( getAllBlockBindingsSources() ).forEach(
diff --git a/packages/e2e-tests/plugins/server-side-rendered-block.php b/packages/e2e-tests/plugins/server-side-rendered-block.php
index 29962e90798318..28dc70af756080 100644
--- a/packages/e2e-tests/plugins/server-side-rendered-block.php
+++ b/packages/e2e-tests/plugins/server-side-rendered-block.php
@@ -91,7 +91,7 @@ static function () {
 		add_filter(
 			'block_bindings_supported_attributes_test/auto-register-with-controls',
 			static function () {
-				return array( 'title', 'count', 'spacing', 'showEmojis' );
+				return array( 'title', 'count', 'spacing', 'showEmojis', 'emoji' );
 			}
 		);