diff --git a/packages/stargate/src/stargateclient.spec.ts b/packages/stargate/src/stargateclient.spec.ts
index 7e42e103a4..4def60d477 100644
--- a/packages/stargate/src/stargateclient.spec.ts
+++ b/packages/stargate/src/stargateclient.spec.ts
@@ -11,13 +11,20 @@ import { assert, sleep } from "@cosmjs/utils";
 import { ReadonlyDate } from "readonly-date";
 
 import { TxRaw } from "./codec/cosmos/tx/v1beta1/tx";
-import { assertIsBroadcastTxSuccess, PrivateStargateClient, StargateClient } from "./stargateclient";
+import {
+  assertIsBroadcastTxSuccess,
+  PrivateStargateClient,
+  StargateClient,
+  TimeoutError,
+} from "./stargateclient";
 import {
   faucet,
   makeRandomAddress,
   nonExistentAddress,
   pendingWithoutSimapp,
+  pendingWithoutSlowSimapp,
   simapp,
+  slowSimapp,
   tendermintIdMatcher,
   unused,
   validator,
@@ -331,5 +338,78 @@ describe("StargateClient", () => {
 
       client.disconnect();
     });
+
+    it("respects user timeouts rather than RPC timeouts", async () => {
+      pendingWithoutSlowSimapp();
+      const client = await StargateClient.connect(slowSimapp.tendermintUrl);
+      const wallet = await DirectSecp256k1HdWallet.fromMnemonic(faucet.mnemonic);
+      const [{ address, pubkey: pubkeyBytes }] = await wallet.getAccounts();
+      const pubkey = encodePubkey({
+        type: "tendermint/PubKeySecp256k1",
+        value: toBase64(pubkeyBytes),
+      });
+      const registry = new Registry();
+      const txBodyFields = {
+        typeUrl: "/cosmos.tx.v1beta1.TxBody",
+        value: {
+          messages: [
+            {
+              typeUrl: "/cosmos.bank.v1beta1.MsgSend",
+              value: {
+                fromAddress: address,
+                toAddress: makeRandomAddress(),
+                amount: [
+                  {
+                    denom: "ucosm",
+                    amount: "1234567",
+                  },
+                ],
+              },
+            },
+          ],
+        },
+      };
+      const txBodyBytes = registry.encode(txBodyFields);
+      const chainId = await client.getChainId();
+      const feeAmount = [
+        {
+          amount: "2000",
+          denom: "ucosm",
+        },
+      ];
+      const gasLimit = 200000;
+
+      const { accountNumber: accountNumber1, sequence: sequence1 } = (await client.getSequence(address))!;
+      const authInfoBytes1 = makeAuthInfoBytes([pubkey], feeAmount, gasLimit, sequence1);
+      const signDoc1 = makeSignDoc(txBodyBytes, authInfoBytes1, chainId, accountNumber1);
+      const { signature: signature1 } = await wallet.signDirect(address, signDoc1);
+      const txRaw1 = TxRaw.fromPartial({
+        bodyBytes: txBodyBytes,
+        authInfoBytes: authInfoBytes1,
+        signatures: [fromBase64(signature1.signature)],
+      });
+      const txRawBytes1 = Uint8Array.from(TxRaw.encode(txRaw1).finish());
+      const largeTimeoutMs = 30_000;
+      const txResult = await client.broadcastTx(txRawBytes1, largeTimeoutMs);
+      assertIsBroadcastTxSuccess(txResult);
+
+      const { accountNumber: accountNumber2, sequence: sequence2 } = (await client.getSequence(address))!;
+      const authInfoBytes2 = makeAuthInfoBytes([pubkey], feeAmount, gasLimit, sequence2);
+      const signDoc2 = makeSignDoc(txBodyBytes, authInfoBytes2, chainId, accountNumber2);
+      const { signature: signature2 } = await wallet.signDirect(address, signDoc2);
+      const txRaw2 = TxRaw.fromPartial({
+        bodyBytes: txBodyBytes,
+        authInfoBytes: authInfoBytes2,
+        signatures: [fromBase64(signature2.signature)],
+      });
+      const txRawBytes2 = Uint8Array.from(TxRaw.encode(txRaw2).finish());
+      const smallTimeoutMs = 1_000;
+      await expectAsync(client.broadcastTx(txRawBytes2, smallTimeoutMs)).toBeRejectedWithError(
+        TimeoutError,
+        /transaction with id .+ was submitted but was not yet found on the chain/i,
+      );
+
+      client.disconnect();
+    });
   });
 });
diff --git a/packages/stargate/src/testutils.spec.ts b/packages/stargate/src/testutils.spec.ts
index 35f8cc829b..3a23683e00 100644
--- a/packages/stargate/src/testutils.spec.ts
+++ b/packages/stargate/src/testutils.spec.ts
@@ -29,6 +29,16 @@ export function pendingWithoutSimapp(): void {
   }
 }
 
+export function slowSimappEnabled(): boolean {
+  return !!process.env.SLOW_SIMAPP_ENABLED;
+}
+
+export function pendingWithoutSlowSimapp(): void {
+  if (!slowSimappEnabled()) {
+    return pending("Set SLOW_SIMAPP_ENABLED to enable slow Simapp based tests");
+  }
+}
+
 export function makeRandomAddressBytes(): Uint8Array {
   return Random.getBytes(20);
 }
@@ -54,6 +64,17 @@ export const simapp = {
   totalSupply: 21000000000,
 };
 
+export const slowSimapp = {
+  tendermintUrl: "localhost:26660",
+  tendermintUrlWs: "ws://localhost:26660",
+  tendermintUrlHttp: "http://localhost:26660",
+  chainId: "simd-testing",
+  denomStaking: "ustake",
+  denomFee: "ucosm",
+  blockTime: 1_000, // ms
+  totalSupply: 21000000000,
+};
+
 export const faucet = {
   mnemonic:
     "economy stock theory fatal elder harbor betray wasp final emotion task crumble siren bottom lizard educate guess current outdoor pair theory focus wife stone",