diff --git a/packages/shared/sdk-server/__tests__/LDClientImpl.overrides.test.ts b/packages/shared/sdk-server/__tests__/LDClientImpl.overrides.test.ts
index 54a0248a59..7e2f838875 100644
--- a/packages/shared/sdk-server/__tests__/LDClientImpl.overrides.test.ts
+++ b/packages/shared/sdk-server/__tests__/LDClientImpl.overrides.test.ts
@@ -637,6 +637,48 @@ describe('given override source lifecycle and configuration', () => {
     expect(await client.boolVariation('overridden-flag', user, false)).toBe(false);
   });
 
+  it('warns in offline mode that the source is not started and no overrides are served', () => {
+    const logger = makeMockLogger();
+    const factory = jest.fn((_clientContext: LDClientContext) => new TestOverrideSource());
+    client = makeFDv2Client(makeFDv2Platform(), {
+      logger,
+      offline: true,
+      dataSystem: { overrides: factory },
+    });
+
+    expect(factory).not.toHaveBeenCalled();
+    expect(logger.warn).toHaveBeenCalledWith(
+      'Offline mode is enabled; the override source is not started and no overrides are served',
+    );
+  });
+
+  it('does not warn about overrides in offline mode without an override source', () => {
+    const logger = makeMockLogger();
+    client = makeFDv2Client(makeFDv2Platform(), { logger, offline: true, dataSystem: {} });
+
+    expect(warningsMatching(logger, /override source/)).toEqual(0);
+  });
+
+  it('ignores a snapshot that the source supplies after the client is closed', async () => {
+    const updates: string[] = [];
+    const source = new TestOverrideSource();
+    const created = makeFDv2Client(
+      makeFDv2Platform(),
+      { dataSystem: { overrides: source } },
+      makeCallbacks((key) => updates.push(key), true),
+    );
+    client = created;
+    created.close();
+
+    // A custom source can keep supplying snapshots after it is closed.
+    source.sink!.setOverrides([singleValueFlag('late-flag', true)], []);
+    await settle();
+
+    expect(updates).toEqual([]);
+    const detail = await created.boolVariationDetail('late-flag', user, false);
+    expect(detail.reason).toEqual({ kind: 'ERROR', errorKind: 'CLIENT_NOT_READY' });
+  });
+
   it('accepts a factory function for the source', () => {
     const source = new TestOverrideSource();
     const factory = jest.fn((_clientContext: LDClientContext) => source);
diff --git a/packages/shared/sdk-server/src/LDClientImpl.ts b/packages/shared/sdk-server/src/LDClientImpl.ts
index 6f773ce53d..71256c4d33 100644
--- a/packages/shared/sdk-server/src/LDClientImpl.ts
+++ b/packages/shared/sdk-server/src/LDClientImpl.ts
@@ -339,6 +339,11 @@ function constructFDv2(
     dataSystem.overrides !== undefined && !config.offline
       ? createOverrideSource(dataSystem.overrides, clientContext)
       : undefined;
+  if (dataSystem.overrides !== undefined && config.offline) {
+    logger?.warn(
+      'Offline mode is enabled; the override source is not started and no overrides are served',
+    );
+  }
   const featureStore = dataSystem.featureStoreFactory(clientContext);
 
   // The override layer sits at the store read boundary. Evaluation, prerequisite and segment
@@ -650,6 +655,8 @@ export default class LDClientImpl implements LDClient {
 
   private _overrideLayer?: OverrideLayer;
 
+  private _overrideSink?: OverrideSink;
+
   private _overrideSource?: LDOverrideSource;
 
   // Settles when the override source's initial load has completed, also when it failed, and is
@@ -810,6 +817,7 @@ export default class LDClientImpl implements LDClient {
         // place before the client evaluates anything. An asynchronous initial load is part of
         // starting the client: waitForInitialization resolves after it. Evaluation never waits.
         this._overrideLayer = overrides.layer;
+        this._overrideSink = overrides.sink;
         this._overrideSource = overrides.source;
         this._overridesReady = this._startOverrideSource(overrides.source, overrides.sink);
       }
@@ -1385,6 +1393,9 @@ export default class LDClientImpl implements LDClient {
   }
 
   close(): void {
+    // The sink stops accepting snapshots first, so a snapshot that the source supplies while or
+    // after it closes neither changes the layer nor notifies the application.
+    this._overrideSink?.close();
     try {
       this._overrideSource?.close();
     } catch (err) {
diff --git a/packages/shared/sdk-server/src/api/options/LDDataSystemOptions.ts b/packages/shared/sdk-server/src/api/options/LDDataSystemOptions.ts
index cb9dfef0fd..76e2d7a026 100644
--- a/packages/shared/sdk-server/src/api/options/LDDataSystemOptions.ts
+++ b/packages/shared/sdk-server/src/api/options/LDDataSystemOptions.ts
@@ -90,6 +90,9 @@ export interface LDDataSystemOptions {
    * status or data source status. Configuring it changes nothing until the source supplies an
    * override. At most one override source can be configured.
    *
+   * When the client is offline, the source is not built or started: no overrides are served, and
+   * a configuration error in the source is not reported. The SDK logs a warning instead.
+   *
    * Some implementations provide the source object itself, while others provide a factory
    * function that creates the source based on the SDK configuration. This property accepts
    * either.
diff --git a/packages/shared/sdk-server/src/overrides/OverrideSink.ts b/packages/shared/sdk-server/src/overrides/OverrideSink.ts
index 7f2f59c92a..d8ba5ac939 100644
--- a/packages/shared/sdk-server/src/overrides/OverrideSink.ts
+++ b/packages/shared/sdk-server/src/overrides/OverrideSink.ts
@@ -101,6 +101,8 @@ export default class OverrideSink implements LDOverrideSink {
   // Notifications for successive snapshots are computed one at a time, in order.
   private _chain: Promise<void> = Promise.resolve();
 
+  private _closed = false;
+
   /**
    * @param _layer The layer to write to.
    * @param _base The store that holds LaunchDarkly data, without the overlay. The merged views
@@ -125,6 +127,12 @@ export default class OverrideSink implements LDOverrideSink {
    * layer before any of it is applied, and the error reaches the caller.
    */
   setOverrides(flags: LDKeyedFeatureStoreItem[], segments: LDKeyedFeatureStoreItem[]): void {
+    if (this._closed) {
+      this._logger?.debug(
+        'Ignoring an override snapshot supplied after the override source was closed',
+      );
+      return;
+    }
     const { previous, current } = this._layer.setAll(flags, segments);
     // Computing the affected flags needs the merged view before and after the replacement. Skip
     // all of that work when nothing is listening.
@@ -138,6 +146,14 @@ export default class OverrideSink implements LDOverrideSink {
       });
   }
 
+  /**
+   * Stops accepting snapshots. The client calls this before it closes the source, so a snapshot
+   * that the source supplies afterward is ignored. The layer keeps its contents.
+   */
+  close(): void {
+    this._closed = true;
+  }
+
   /**
    * Notifies the flags whose override entries were added, removed, or changed, plus every flag
    * that depends, directly or transitively, on any added, removed, or changed entry of either