diff --git a/sdk/eventhub/azure-eventhub/CHANGELOG.md b/sdk/eventhub/azure-eventhub/CHANGELOG.md
index e235266b4a67..13e9b1eb8ec0 100644
--- a/sdk/eventhub/azure-eventhub/CHANGELOG.md
+++ b/sdk/eventhub/azure-eventhub/CHANGELOG.md
@@ -1,10 +1,14 @@
 # Release History
 
-## 5.1.0b2 (Unreleased)
+## 5.1.0 (2020-05-04)
 
 **New Features**
 
 - `EventHubProducerClient.send_batch` accepts either an `EventDataBatch` or a finite list of `EventData`. #9181
+- Added enqueueTime to span links of distributed tracing. #9599
+
+**Bug fixes**
+- Fixed a bug that turned `azure.eventhub.EventhubConsumerClient` into an exclusive receiver when it has no checkpoint store. #11181
 
 ## 5.1.0b1 (2020-04-06)
 
diff --git a/sdk/eventhub/azure-eventhub/README.md b/sdk/eventhub/azure-eventhub/README.md
index c03b8e67ca1c..2cff00a3dd08 100644
--- a/sdk/eventhub/azure-eventhub/README.md
+++ b/sdk/eventhub/azure-eventhub/README.md
@@ -13,7 +13,7 @@ The Azure Event Hubs client library allows for publishing and consuming of Azure
 - Observe interesting operations and interactions happening within your business or other ecosystem, allowing loosely coupled systems to interact without the need to bind them together.
 - Receive events from one or more publishers, transform them to better meet the needs of your ecosystem, then publish the transformed events to a new stream for consumers to observe.
 
-[Source code](./) | [Package (PyPi)](https://pypi.org/project/azure-eventhub/5.1.0b1) | [API reference documentation](https://azuresdkdocs.blob.core.windows.net/$web/python/azure-eventhub/5.1.0b1/azure.eventhub.html) | [Product documentation](https://docs.microsoft.com/en-us/azure/event-hubs/) | [Samples](https://github.com/Azure/azure-sdk-for-python/tree/master/sdk/eventhub/azure-eventhub/samples)
+[Source code](./) | [Package (PyPi)](https://pypi.org/project/azure-eventhub/) | [API reference documentation](https://azuresdkdocs.blob.core.windows.net/$web/python/azure-eventhub/5.1.0/azure.eventhub.html) | [Product documentation](https://docs.microsoft.com/en-us/azure/event-hubs/) | [Samples](https://github.com/Azure/azure-sdk-for-python/tree/master/sdk/eventhub/azure-eventhub/samples)
 ## Getting started
 
 ### Prerequisites
@@ -423,7 +423,7 @@ Please take a look at the [samples](./samples) directory for detailed examples o
 
 ### Documentation
 
-Reference documentation is available [here](https://azuresdkdocs.blob.core.windows.net/$web/python/azure-eventhub/5.1.0b1/azure.eventhub.html).
+Reference documentation is available [here](https://azuresdkdocs.blob.core.windows.net/$web/python/azure-eventhub/5.1.0/azure.eventhub.html).
 
 ### Provide Feedback
 
diff --git a/sdk/eventhub/azure-eventhub/azure/eventhub/_consumer_client.py b/sdk/eventhub/azure-eventhub/azure/eventhub/_consumer_client.py
index 2f3418dff687..a9041f60b715 100644
--- a/sdk/eventhub/azure-eventhub/azure/eventhub/_consumer_client.py
+++ b/sdk/eventhub/azure-eventhub/azure/eventhub/_consumer_client.py
@@ -43,8 +43,8 @@ class EventHubConsumerClient(ClientBase):
     `EventHubConsumerClient`.
     If a checkpoint store is not provided, the checkpoint will be maintained internally in memory.
 
-    An `EventHubConsumerClient` can also receive from a specific partition when you call its method `receive()`
-    and specify the partition_id.
+    An `EventHubConsumerClient` can also receive from a specific partition when you call its method `receive()` or
+    `receive_batch()` and specify the partition_id.
     Load-balancing won't work in single-partition mode. But users can still save checkpoints if the checkpoint_store
     is set.
 
diff --git a/sdk/eventhub/azure-eventhub/azure/eventhub/_version.py b/sdk/eventhub/azure-eventhub/azure/eventhub/_version.py
index b211e6234dac..f2f20c702c59 100644
--- a/sdk/eventhub/azure-eventhub/azure/eventhub/_version.py
+++ b/sdk/eventhub/azure-eventhub/azure/eventhub/_version.py
@@ -3,4 +3,4 @@
 # Licensed under the MIT License.
 # ------------------------------------
 
-VERSION = "5.1.0b2"
+VERSION = "5.1.0"
diff --git a/sdk/eventhub/azure-eventhub/azure/eventhub/aio/_consumer_client_async.py b/sdk/eventhub/azure-eventhub/azure/eventhub/aio/_consumer_client_async.py
index 04567cc0292b..6ba1f59404c9 100644
--- a/sdk/eventhub/azure-eventhub/azure/eventhub/aio/_consumer_client_async.py
+++ b/sdk/eventhub/azure-eventhub/azure/eventhub/aio/_consumer_client_async.py
@@ -49,8 +49,8 @@ class EventHubConsumerClient(ClientBaseAsync):
     `EventHubConsumerClient`.
     If a checkpoint store is not provided, the checkpoint will be maintained internally in memory.
 
-    An `EventHubConsumerClient` can also receive from a specific partition when you call its method `receive()`
-    and specify the partition_id.
+    An `EventHubConsumerClient` can also receive from a specific partition when you call its method `receive()` or
+    `receive_batch()` and specify the partition_id.
     Load-balancing won't work in single-partition mode. But users can still save checkpoints if the checkpoint_store
     is set.
 
diff --git a/sdk/eventhub/azure-eventhub/setup.py b/sdk/eventhub/azure-eventhub/setup.py
index 7f8bca9e4269..46cd5253c35a 100644
--- a/sdk/eventhub/azure-eventhub/setup.py
+++ b/sdk/eventhub/azure-eventhub/setup.py
@@ -54,7 +54,7 @@
     author_email='azpysdkhelp@microsoft.com',
     url='https://github.com/Azure/azure-sdk-for-python/tree/master/sdk/eventhub/azure-eventhub',
     classifiers=[
-        "Development Status :: 4 - Beta",
+        "Development Status :: 5 - Production/Stable",
         'Programming Language :: Python',
         'Programming Language :: Python :: 2',
         'Programming Language :: Python :: 2.7',