diff --git a/src/vs/workbench/api/browser/mainThreadNotebook.ts b/src/vs/workbench/api/browser/mainThreadNotebook.ts
index c71dec330a5..a922b7ad000 100644
--- a/src/vs/workbench/api/browser/mainThreadNotebook.ts
+++ b/src/vs/workbench/api/browser/mainThreadNotebook.ts
@@ -172,6 +172,7 @@ export class MainThreadNotebooks implements MainThreadNotebookShape {
 						preloads: dto.preloads?.map(u => URI.revive(u)),
 						supportedLanguages: dto.supportedLanguages,
 						implementsInterrupt: dto.implementsInterrupt,
+						implementsExecutionOrder: true, // todo@jrieken this is temporary and for the OLD API only
 						resolve: (uri: URI, editorId: string, token: CancellationToken): Promise<void> => {
 							this._logService.debug('MainthreadNotebooks.resolveNotebookKernel', uri.path, dto.friendlyId);
 							return this._proxy.$resolveNotebookKernel(handle, editorId, uri, dto.friendlyId, token);
diff --git a/src/vs/workbench/api/browser/mainThreadNotebookKernels.ts b/src/vs/workbench/api/browser/mainThreadNotebookKernels.ts
index 41e6250ba98..6eab992285f 100644
--- a/src/vs/workbench/api/browser/mainThreadNotebookKernels.ts
+++ b/src/vs/workbench/api/browser/mainThreadNotebookKernels.ts
@@ -28,7 +28,7 @@ abstract class MainThreadKernel implements INotebookKernel2 {
 	detail?: string;
 	isPreferred?: boolean;
 	supportedLanguages: string[];
-	hasExecutionOrder: boolean;
+	implementsExecutionOrder: boolean;
 	localResourceRoot: URI;
 	preloads?: URI[];
 
@@ -42,7 +42,7 @@ abstract class MainThreadKernel implements INotebookKernel2 {
 		this.description = data.description;
 		this.isPreferred = data.isPreferred;
 		this.supportedLanguages = data.supportedLanguages;
-		this.hasExecutionOrder = data.hasExecutionOrder ?? false;
+		this.implementsExecutionOrder = data.hasExecutionOrder ?? false;
 		this.localResourceRoot = URI.revive(data.extensionLocation);
 		this.preloads = data.preloads && data.preloads.map(u => URI.revive(u));
 	}
@@ -67,7 +67,7 @@ abstract class MainThreadKernel implements INotebookKernel2 {
 			event.supportedLanguages = true;
 		}
 		if (data.hasExecutionOrder !== undefined) {
-			this.hasExecutionOrder = data.hasExecutionOrder;
+			this.implementsExecutionOrder = data.hasExecutionOrder;
 			event.hasExecutionOrder = true;
 		}
 		this._onDidChange.fire(event);
diff --git a/src/vs/workbench/api/common/extHostNotebookKernels.ts b/src/vs/workbench/api/common/extHostNotebookKernels.ts
index f97a0129435..2230f04dbeb 100644
--- a/src/vs/workbench/api/common/extHostNotebookKernels.ts
+++ b/src/vs/workbench/api/common/extHostNotebookKernels.ts
@@ -48,7 +48,8 @@ export class ExtHostNotebookKernels implements ExtHostNotebookKernelsShape {
 			extensionLocation: extension.extensionLocation,
 			label: options.label,
 			supportedLanguages: options.supportedLanguages,
-			supportsInterrupt: Boolean(options.interruptHandler)
+			supportsInterrupt: Boolean(options.interruptHandler),
+			hasExecutionOrder: options.hasExecutionOrder,
 		};
 		this._proxy.$addKernel(handle, data);
 
diff --git a/src/vs/workbench/contrib/notebook/browser/view/renderers/cellRenderer.ts b/src/vs/workbench/contrib/notebook/browser/view/renderers/cellRenderer.ts
index e948c5f84e8..7a80ee2eb97 100644
--- a/src/vs/workbench/contrib/notebook/browser/view/renderers/cellRenderer.ts
+++ b/src/vs/workbench/contrib/notebook/browser/view/renderers/cellRenderer.ts
@@ -859,7 +859,7 @@ export class CodeCellRenderer extends AbstractCellRenderer implements IListRende
 	}
 
 	private updateExecutionOrder(metadata: NotebookCellMetadata, templateData: CodeCellRenderTemplate): void {
-		if (metadata.hasExecutionOrder) {
+		if (this.notebookEditor.activeKernel?.implementsExecutionOrder) {
 			const executionOrderLabel = typeof metadata.executionOrder === 'number' ?
 				`[${metadata.executionOrder}]` :
 				'[ ]';
diff --git a/src/vs/workbench/contrib/notebook/common/notebookCommon.ts b/src/vs/workbench/contrib/notebook/common/notebookCommon.ts
index 9d79ba59146..185935267b7 100644
--- a/src/vs/workbench/contrib/notebook/common/notebookCommon.ts
+++ b/src/vs/workbench/contrib/notebook/common/notebookCommon.ts
@@ -762,6 +762,7 @@ export interface INotebookKernel {
 	preloads?: URI[];
 	supportedLanguages?: string[]
 	implementsInterrupt?: boolean;
+	implementsExecutionOrder?: boolean;
 
 	resolve(uri: URI, editorId: string, token: CancellationToken): Promise<void>;
 	executeNotebookCellsRequest(uri: URI, ranges: ICellRange[]): Promise<void>;
diff --git a/src/vs/workbench/contrib/notebook/common/notebookKernelService.ts b/src/vs/workbench/contrib/notebook/common/notebookKernelService.ts
index f6b37d03e99..d506588e300 100644
--- a/src/vs/workbench/contrib/notebook/common/notebookKernelService.ts
+++ b/src/vs/workbench/contrib/notebook/common/notebookKernelService.ts
@@ -33,7 +33,7 @@ export interface INotebookKernel2 {
 	detail?: string;
 	isPreferred?: boolean;
 	supportedLanguages: string[];
-	hasExecutionOrder: boolean;
+	implementsExecutionOrder: boolean;
 	implementsInterrupt: boolean;
 
 	localResourceRoot: URI;
diff --git a/src/vs/workbench/contrib/notebook/common/notebookKernelServiceImpl.ts b/src/vs/workbench/contrib/notebook/common/notebookKernelServiceImpl.ts
index a645f210168..0ceeb82420f 100644
--- a/src/vs/workbench/contrib/notebook/common/notebookKernelServiceImpl.ts
+++ b/src/vs/workbench/contrib/notebook/common/notebookKernelServiceImpl.ts
@@ -105,6 +105,7 @@ class KernelAdaptorBridge implements IWorkbenchContribution {
 						extensionLocation: kernel.localResourceRoot,
 						supportedLanguages: kernel.supportedLanguages,
 						implementsInterrupt: kernel.implementsInterrupt,
+						implementsExecutionOrder: kernel.implementsExecutionOrder,
 						extension: kernel.extensionId,
 						async resolve() { },
 						async executeNotebookCellsRequest(uri: URI, ranges: ICellRange[]): Promise<void> { kernel.executeCells(uri, ranges); },