diff --git a/sdk/containerregistry/azure-containerregistry/CHANGELOG.md b/sdk/containerregistry/azure-containerregistry/CHANGELOG.md
index bd634484de49..116d45cb1139 100644
--- a/sdk/containerregistry/azure-containerregistry/CHANGELOG.md
+++ b/sdk/containerregistry/azure-containerregistry/CHANGELOG.md
@@ -9,6 +9,9 @@
 ### Bugs Fixed
 
 ### Other Changes
+* Python 3.6 is no longer supported. Please use Python version 3.7 or later.
+* Bumped minimum dependency on `azure-core` to `>=1.24.0`
+* Bumped minimum dependency on `msrest` to `>=0.7.1`
 
 ## 1.1.0b1 (2022-05-10)
 
diff --git a/sdk/containerregistry/azure-containerregistry/README.md b/sdk/containerregistry/azure-containerregistry/README.md
index ed9ed8894c34..28d7e865a8a0 100644
--- a/sdk/containerregistry/azure-containerregistry/README.md
+++ b/sdk/containerregistry/azure-containerregistry/README.md
@@ -14,6 +14,7 @@ Use the client library for Azure Container Registry to:
 ## _Disclaimer_
 
 _Azure SDK Python packages support for Python 2.7 has ended 01 January 2022. For more information and questions, please refer to https://github.com/Azure/azure-sdk-for-python/issues/20691_
+_Python 3.7 or later is required to use this package. For more details, please refer to [Azure SDK for Python version support policy](https://github.com/Azure/azure-sdk-for-python/wiki/Azure-SDKs-Python-version-support-policy)._
 
 ## Getting started
 
@@ -27,7 +28,7 @@ pip install --pre azure-containerregistry
 
 ### Prerequisites
 
-* Python 3.6 or later is required to use this package.
+* Python 3.7 or later is required to use this package.
 * You need an [Azure subscription][azure_sub] and a [Container Registry account][container_registry_docs] to use this package.
 
 To create a new Container Registry, you can use the [Azure Portal][container_registry_create_portal],
diff --git a/sdk/containerregistry/azure-containerregistry/samples/README.md b/sdk/containerregistry/azure-containerregistry/samples/README.md
index ebe2245b92ec..bcd52e253def 100644
--- a/sdk/containerregistry/azure-containerregistry/samples/README.md
+++ b/sdk/containerregistry/azure-containerregistry/samples/README.md
@@ -11,7 +11,6 @@ urlFragment: containerregistry-samples
 # Samples for Azure Container Registry
 
 These code samples show common scenario operations with the Azure Container Registry client library. The code samples assume an environment variable `CONTAINERREGISTRY_ENDPOINT` is set, which includes the name of the login server and the `https://` prefix. For more information on using AAD with Azure Container Registry, please see the service's [Authentication Overview](https://docs.microsoft.com/azure/container-registry/container-registry-authentication).
-The async versions of the samples require Python 3.6 or later.
 
 
 |**File Name**|**Description**|
@@ -23,7 +22,7 @@ The async versions of the samples require Python 3.6 or later.
 |[sample_list_tags.py][list_tags] ([sample_list_tags_async.py][list_tags_async]) | List tags on an image with anonymous access |
 
 ### Prerequisites
-* Python 3.6 or later is required to use this package.
+* Python 3.7 or later is required to use this package.
 * You need an [Azure subscription][azure_sub] and a [Container Registry account][container_registry_docs] to use this package.
 
 ## Setup
diff --git a/sdk/containerregistry/azure-containerregistry/setup.py b/sdk/containerregistry/azure-containerregistry/setup.py
index e6a860707bed..c76959b6903d 100644
--- a/sdk/containerregistry/azure-containerregistry/setup.py
+++ b/sdk/containerregistry/azure-containerregistry/setup.py
@@ -39,7 +39,6 @@
         "Programming Language :: Python",
         "Programming Language :: Python :: 3 :: Only",
         "Programming Language :: Python :: 3",
-        "Programming Language :: Python :: 3.6",
         "Programming Language :: Python :: 3.7",
         "Programming Language :: Python :: 3.8",
         "Programming Language :: Python :: 3.9",
@@ -53,10 +52,10 @@
             "azure",
         ]
     ),
-    python_requires=">=3.6",
+    python_requires=">=3.7",
     install_requires=[
-        "azure-core>=1.23.0,<2.0.0",
-        "msrest>=0.6.21",
+        "azure-core>=1.24.0,<2.0.0",
+        "msrest>=0.7.1",
     ],
     project_urls={
         "Bug Reports": "https://github.com/Azure/azure-sdk-for-python/issues",
diff --git a/sdk/containerregistry/azure-containerregistry/tests/perfstress_tests/README.md b/sdk/containerregistry/azure-containerregistry/tests/perfstress_tests/README.md
index 6fccebddc438..883c6574168e 100644
--- a/sdk/containerregistry/azure-containerregistry/tests/perfstress_tests/README.md
+++ b/sdk/containerregistry/azure-containerregistry/tests/perfstress_tests/README.md
@@ -2,7 +2,7 @@
 
 In order to run the performance tests, the `azure-devtools` package must be installed. This is done as part of the
 `dev_requirements` install. Start by creating a new virtual environment for your perf tests. This will need to be a
-Python 3 environment, preferably >=3.6.
+Python 3 environment, preferably >=3.7.
 
 ### Setup for test resources
 
diff --git a/shared_requirements.txt b/shared_requirements.txt
index 37bf110d5369..effc1da4794e 100644
--- a/shared_requirements.txt
+++ b/shared_requirements.txt
@@ -133,7 +133,8 @@ chardet<5,>=3.0.2
 #override azure-search-documents typing-extensions>=3.7.4.3
 #override azure azure-keyvault~=1.0
 #override azure-mgmt-core azure-core<2.0.0,>=1.24.0
-#override azure-containerregistry azure-core>=1.23.0,<2.0.0
+#override azure-containerregistry azure-core>=1.24.0,<2.0.0
+#override azure-containerregistry msrest>=0.7.1
 #override azure-core-tracing-opencensus azure-core<2.0.0,>=1.13.0
 #override azure-core-tracing-opentelemetry azure-core<2.0.0,>=1.13.0
 #override azure-cosmos azure-core<2.0.0,>=1.23.0