diff --git a/.changeset/brown-tomatoes-walk.md b/.changeset/brown-tomatoes-walk.md
new file mode 100644
index 00000000000..8b48e7b12d7
--- /dev/null
+++ b/.changeset/brown-tomatoes-walk.md
@@ -0,0 +1,5 @@
+---
+'@apollo/client': patch
+---
+
+Ensure in-flight promises executed by `useLazyQuery` are rejected when `useLazyQuery` unmounts.
diff --git a/config/bundlesize.ts b/config/bundlesize.ts
index 6fd99531b19..8b94928a831 100644
--- a/config/bundlesize.ts
+++ b/config/bundlesize.ts
@@ -3,7 +3,7 @@ import { join } from "path";
 import { gzipSync } from "zlib";
 import bytes from "bytes";
 
-const gzipBundleByteLengthLimit = bytes("32.03KB");
+const gzipBundleByteLengthLimit = bytes("32.12KB");
 const minFile = join("dist", "apollo-client.min.cjs");
 const minPath = join(__dirname, "..", minFile);
 const gzipByteLen = gzipSync(readFileSync(minPath)).byteLength;
diff --git a/src/react/hooks/__tests__/useLazyQuery.test.tsx b/src/react/hooks/__tests__/useLazyQuery.test.tsx
index 829a65b41f6..9f5f780e090 100644
--- a/src/react/hooks/__tests__/useLazyQuery.test.tsx
+++ b/src/react/hooks/__tests__/useLazyQuery.test.tsx
@@ -1,7 +1,7 @@
 import React from 'react';
 import { GraphQLError } from 'graphql';
 import gql from 'graphql-tag';
-import { renderHook, waitFor } from '@testing-library/react';
+import { act, renderHook, waitFor } from '@testing-library/react';
 
 import { ApolloClient, ApolloLink, ErrorPolicy, InMemoryCache, NetworkStatus, TypedDocumentNode } from '../../../core';
 import { Observable } from '../../../utilities';
@@ -1014,6 +1014,78 @@ describe('useLazyQuery Hook', () => {
     await wait(50);
   });
 
+  it('aborts in-flight requests when component unmounts', async () => {
+    const query = gql`
+      query {
+        hello
+      }
+    `;
+
+    const link = new ApolloLink(() => {
+      // Do nothing to prevent
+      return null
+    });
+
+    const client = new ApolloClient({ link, cache: new InMemoryCache() })
+
+    const { result, unmount } = renderHook(() => useLazyQuery(query), {
+      wrapper: ({ children }) =>
+        <ApolloProvider client={client}>
+          {children}
+        </ApolloProvider>
+    });
+
+    const [execute] = result.current;
+
+    let promise: Promise<any>
+    act(() => {
+      promise = execute()
+    })
+
+    unmount();
+
+    await expect(promise!).rejects.toEqual(
+      new DOMException('The operation was aborted.', 'AbortError')
+    );
+  });
+
+  it('handles aborting multiple in-flight requests when component unmounts', async () => {
+    const query = gql`
+      query {
+        hello
+      }
+    `;
+
+    const link = new ApolloLink(() => {
+      return null
+    });
+
+    const client = new ApolloClient({ link, cache: new InMemoryCache() })
+
+    const { result, unmount } = renderHook(() => useLazyQuery(query), {
+      wrapper: ({ children }) =>
+        <ApolloProvider client={client}>
+          {children}
+        </ApolloProvider>
+    });
+
+    const [execute] = result.current;
+
+    let promise1: Promise<any>
+    let promise2: Promise<any>
+    act(() => {
+      promise1 = execute();
+      promise2 = execute();
+    })
+
+    unmount();
+
+    const expectedError = new DOMException('The operation was aborted.', 'AbortError');
+
+    await expect(promise1!).rejects.toEqual(expectedError);
+    await expect(promise2!).rejects.toEqual(expectedError);
+  });
+
   describe("network errors", () => {
     async function check(errorPolicy: ErrorPolicy) {
       const networkError = new Error("from the network");
diff --git a/src/react/hooks/useLazyQuery.ts b/src/react/hooks/useLazyQuery.ts
index 109a140788e..77dfbe466c4 100644
--- a/src/react/hooks/useLazyQuery.ts
+++ b/src/react/hooks/useLazyQuery.ts
@@ -1,6 +1,6 @@
 import { DocumentNode } from 'graphql';
 import { TypedDocumentNode } from '@graphql-typed-document-node/core';
-import { useCallback, useMemo, useRef } from 'react';
+import { useCallback, useEffect, useMemo, useRef } from 'react';
 
 import { OperationVariables } from '../../core';
 import { mergeOptions } from '../../utilities';
@@ -27,6 +27,7 @@ export function useLazyQuery<TData = any, TVariables = OperationVariables>(
   query: DocumentNode | TypedDocumentNode<TData, TVariables>,
   options?: LazyQueryHookOptions<TData, TVariables>
 ): LazyQueryResultTuple<TData, TVariables> {
+  const abortControllersRef = useRef(new Set<AbortController>());
   const internalState = useInternalState(
     useApolloClient(options && options.client),
     query,
@@ -71,9 +72,20 @@ export function useLazyQuery<TData = any, TVariables = OperationVariables>(
 
   Object.assign(result, eagerMethods);
 
+  useEffect(() => {
+    return () => {
+      abortControllersRef.current.forEach((controller) => {
+        controller.abort();
+      });
+    }
+  }, [])
+
   const execute = useCallback<
     LazyQueryResultTuple<TData, TVariables>[0]
   >(executeOptions => {
+    const controller = new AbortController();
+    abortControllersRef.current.add(controller);
+
     execOptionsRef.current = executeOptions ? {
       ...executeOptions,
       fetchPolicy: executeOptions.fetchPolicy || initialFetchPolicy,
@@ -82,12 +94,16 @@ export function useLazyQuery<TData = any, TVariables = OperationVariables>(
     };
 
     const promise = internalState
-      .asyncUpdate() // Like internalState.forceUpdate, but returns a Promise.
-      .then(queryResult => Object.assign(queryResult, eagerMethods));
+      .asyncUpdate(controller.signal) // Like internalState.forceUpdate, but returns a Promise.
+      .then(queryResult => {
+        abortControllersRef.current.delete(controller);
 
-    // Because the return value of `useLazyQuery` is usually floated, we need
-    // to catch the promise to prevent unhandled rejections.
-    promise.catch(() => {});
+        return Object.assign(queryResult, eagerMethods);
+      });
+
+    promise.catch(() => {
+      abortControllersRef.current.delete(controller);
+    });
 
     return promise;
   }, []);
diff --git a/src/react/hooks/useQuery.ts b/src/react/hooks/useQuery.ts
index 6486118d329..1bd4bd0087e 100644
--- a/src/react/hooks/useQuery.ts
+++ b/src/react/hooks/useQuery.ts
@@ -101,10 +101,20 @@ class InternalState<TData, TVariables> {
     invariant.warn("Calling default no-op implementation of InternalState#forceUpdate");
   }
 
-  asyncUpdate() {
-    return new Promise<QueryResult<TData, TVariables>>(resolve => {
+  asyncUpdate(signal: AbortSignal) {
+    return new Promise<QueryResult<TData, TVariables>>((resolve, reject) => {
+      const watchQueryOptions = this.watchQueryOptions;
+
+      const handleAborted = () => {
+        this.asyncResolveFns.delete(resolve)
+        this.optionsToIgnoreOnce.delete(watchQueryOptions);
+        signal.removeEventListener('abort', handleAborted)
+        reject(signal.reason);
+      };
+
       this.asyncResolveFns.add(resolve);
-      this.optionsToIgnoreOnce.add(this.watchQueryOptions);
+      this.optionsToIgnoreOnce.add(watchQueryOptions);
+      signal.addEventListener('abort', handleAborted)
       this.forceUpdate();
     });
   }