diff --git a/taskiq/instrumentation.py b/taskiq/instrumentation.py
index ed542c7b..51b9347b 100644
--- a/taskiq/instrumentation.py
+++ b/taskiq/instrumentation.py
@@ -87,7 +87,7 @@ def instrument_broker(
         if not hasattr(broker, "_is_instrumented_by_opentelemetry"):
             broker._is_instrumented_by_opentelemetry = False  # type: ignore[attr-defined] # noqa: SLF001
 
-        if not getattr(broker, "is_instrumented_by_opentelemetry", False):
+        if not getattr(broker, "_is_instrumented_by_opentelemetry", False):
             broker.middlewares.insert(
                 0,
                 OpenTelemetryMiddleware(
diff --git a/tests/opentelemetry/test_auto_instrumentation.py b/tests/opentelemetry/test_auto_instrumentation.py
index c7290869..305d5068 100644
--- a/tests/opentelemetry/test_auto_instrumentation.py
+++ b/tests/opentelemetry/test_auto_instrumentation.py
@@ -8,6 +8,10 @@
 
 
 class TestTaskiqAutoInstrumentation(TestBase):
+    def tearDown(self) -> None:
+        TaskiqInstrumentor().uninstrument()
+        super().tearDown()
+
     def test_auto_instrument(self) -> None:
         TaskiqInstrumentor().instrument()
 
diff --git a/tests/opentelemetry/test_duplicate.py b/tests/opentelemetry/test_duplicate.py
index b03ff8fc..e0f84e03 100644
--- a/tests/opentelemetry/test_duplicate.py
+++ b/tests/opentelemetry/test_duplicate.py
@@ -9,7 +9,10 @@ class TestUtils(unittest.TestCase):
     @staticmethod
     def test_duplicate_instrumentation() -> None:
         first = TaskiqInstrumentor()
-        first.instrument_broker(broker)
-        second = TaskiqInstrumentor()
-        second.instrument_broker(broker)
-        TaskiqInstrumentor().uninstrument()
+        try:
+            first.instrument_broker(broker)
+            second = TaskiqInstrumentor()
+            second.instrument_broker(broker)
+            assert len(broker.middlewares) == 1
+        finally:
+            first.uninstrument_broker(broker)
diff --git a/tests/opentelemetry/test_idempotence.py b/tests/opentelemetry/test_idempotence.py
new file mode 100644
index 00000000..f3ad6a23
--- /dev/null
+++ b/tests/opentelemetry/test_idempotence.py
@@ -0,0 +1,87 @@
+from collections.abc import Generator
+
+import pytest
+from opentelemetry import context
+from opentelemetry.sdk.trace import TracerProvider
+from opentelemetry.sdk.trace.export import SimpleSpanProcessor
+from opentelemetry.sdk.trace.export.in_memory_span_exporter import InMemorySpanExporter
+from opentelemetry.trace import SpanKind
+
+from taskiq import InMemoryBroker
+from taskiq.instrumentation import TaskiqInstrumentor
+from taskiq.middlewares.opentelemetry_middleware import OpenTelemetryMiddleware
+
+
+@pytest.fixture
+def local_broker() -> Generator[InMemoryBroker, None, None]:
+    broker = InMemoryBroker(await_inplace=True)
+    TaskiqInstrumentor().uninstrument_broker(broker)
+    try:
+        yield broker
+    finally:
+        TaskiqInstrumentor().uninstrument_broker(broker)
+        broker.executor.shutdown()
+
+
+def test_repeated_instrumentation_keeps_one_middleware(
+    local_broker: InMemoryBroker,
+) -> None:
+    instrumentor = TaskiqInstrumentor()
+    instrumentor.instrument_broker(local_broker)
+    first = local_broker.middlewares[0]
+    instrumentor.instrument_broker(local_broker)
+    assert local_broker.middlewares == [first]
+
+
+def test_uninstrumented_broker_can_be_instrumented_again(
+    local_broker: InMemoryBroker,
+) -> None:
+    instrumentor = TaskiqInstrumentor()
+    instrumentor.instrument_broker(local_broker)
+    instrumentor.uninstrument_broker(local_broker)
+    assert local_broker.middlewares == []
+    instrumentor.instrument_broker(local_broker)
+    assert len(local_broker.middlewares) == 1
+    assert isinstance(local_broker.middlewares[0], OpenTelemetryMiddleware)
+
+
+def test_different_brokers_are_instrumented_independently(
+    local_broker: InMemoryBroker,
+) -> None:
+    other = InMemoryBroker()
+    instrumentor = TaskiqInstrumentor()
+    try:
+        instrumentor.instrument_broker(local_broker)
+        instrumentor.instrument_broker(other)
+        assert len(local_broker.middlewares) == len(other.middlewares) == 1
+        assert local_broker.middlewares[0] is not other.middlewares[0]
+    finally:
+        instrumentor.uninstrument_broker(other)
+        other.executor.shutdown()
+
+
+async def test_repeated_setup_does_not_duplicate_task_spans(
+    local_broker: InMemoryBroker,
+) -> None:
+    exporter = InMemorySpanExporter()
+    provider = TracerProvider()
+    provider.add_span_processor(SimpleSpanProcessor(exporter))
+    instrumentor = TaskiqInstrumentor()
+    token = context.attach(context.Context())
+    try:
+        instrumentor.instrument_broker(local_broker, tracer_provider=provider)
+        instrumentor.instrument_broker(local_broker, tracer_provider=provider)
+
+        @local_broker.task
+        async def task() -> int:
+            return 42
+
+        result = await task.kiq()
+        assert (await result.get_result()).return_value == 42
+        spans = exporter.get_finished_spans()
+        assert len([span for span in spans if span.kind == SpanKind.PRODUCER]) == 1
+        assert len([span for span in spans if span.kind == SpanKind.CONSUMER]) == 1
+    finally:
+        instrumentor.uninstrument_broker(local_broker)
+        context.detach(token)
+        provider.shutdown()