diff --git a/sdk/communication/azure-communication-phonenumbers/setup.py b/sdk/communication/azure-communication-phonenumbers/setup.py
index cdc932ae67b3..bd20acf79b37 100644
--- a/sdk/communication/azure-communication-phonenumbers/setup.py
+++ b/sdk/communication/azure-communication-phonenumbers/setup.py
@@ -61,8 +61,8 @@
         'azure.communication'
     ]),
     install_requires=[
-        "msrest>=0.6.0",
-        'azure-core<2.0.0,>=1.11.0',
+        "msrest>=0.6.21",
+        'azure-core<2.0.0,>=1.15.0',
     ],
     extras_require={
         ":python_version<'3.0'": ['azure-communication-nspkg'],
diff --git a/sdk/communication/azure-communication-sms/setup.py b/sdk/communication/azure-communication-sms/setup.py
index c2d30fee2991..028bc8a9b626 100644
--- a/sdk/communication/azure-communication-sms/setup.py
+++ b/sdk/communication/azure-communication-sms/setup.py
@@ -61,8 +61,8 @@
         'azure.communication'
     ]),
    install_requires=[
-        'azure-core<2.0.0,>=1.11.0',
-        'msrest>=0.6.0',
+        'azure-core<2.0.0,>=1.15.0',
+        'msrest>=0.6.21',
         'six>=1.11.0'
     ],
     extras_require={
diff --git a/sdk/communication/azure-mgmt-communication/setup.py b/sdk/communication/azure-mgmt-communication/setup.py
index e2117a481c59..991c2f8b56ca 100644
--- a/sdk/communication/azure-mgmt-communication/setup.py
+++ b/sdk/communication/azure-mgmt-communication/setup.py
@@ -67,7 +67,7 @@
     install_requires=[
         'msrest>=0.6.21',
         'azure-common~=1.1',
-        'azure-mgmt-core>=1.2.0,<2.0.0',
+        'azure-mgmt-core>=1.3.0,<2.0.0',
     ],
     python_requires=">=3.7",
 )
diff --git a/sdk/communication/ci.yml b/sdk/communication/ci.yml
index 40619c505859..4e46e4b69fd7 100644
--- a/sdk/communication/ci.yml
+++ b/sdk/communication/ci.yml
@@ -30,6 +30,8 @@ extends:
   template: ../../eng/pipelines/templates/stages/archetype-sdk-client.yml
   parameters:
     ServiceDirectory: communication
+    MatrixFilters:
+        - PythonVersion=^(?!pypy3|2.7|3.6).*
     Artifacts:
     - name: azure-communication-identity
       safeName: azurecommunicationidentity
diff --git a/sdk/identity/azure-identity/setup.py b/sdk/identity/azure-identity/setup.py
index 3509a0780fba..2720e6b72edb 100644
--- a/sdk/identity/azure-identity/setup.py
+++ b/sdk/identity/azure-identity/setup.py
@@ -73,7 +73,7 @@
         ]
     ),
     install_requires=[
-        "azure-core<2.0.0,>=1.11.0",
+        "azure-core<2.0.0,>=1.15.0",
         "cryptography>=2.5",
         "msal<2.0.0,>=1.12.0",
         "msal-extensions~=0.3.0",
diff --git a/shared_requirements.txt b/shared_requirements.txt
index b5c8b4fc5a4b..785046021c99 100644
--- a/shared_requirements.txt
+++ b/shared_requirements.txt
@@ -138,7 +138,7 @@ chardet<5,>=3.0.2
 #override azure-cosmos azure-core<2.0.0,>=1.0.0
 #override azure-data-tables azure-core<2.0.0,>=1.14.0
 #override azure-eventhub azure-core<2.0.0,>=1.14.0
-#override azure-identity azure-core<2.0.0,>=1.11.0
+#override azure-identity azure-core<2.0.0,>=1.15.0
 #override azure-keyvault-administration azure-core<2.0.0,>=1.15.0
 #override azure-keyvault-certificates azure-core<2.0.0,>=1.15.0
 #override azure-keyvault-keys azure-core<2.0.0,>=1.15.0
@@ -189,14 +189,15 @@ opentelemetry-sdk<2.0.0,>=1.5.0,!=1.10a0
 #override azure-eventgrid azure-core<2.0.0,>=1.18.0
 #override azure-monitor-query msrest>=0.6.19
 #override azure-monitor-query azure-core<2.0.0,>=1.12.0
-#override azure-communication-sms msrest>=0.6.0
-#override azure-communication-phonenumbers msrest>=0.6.0
+#override azure-communication-sms msrest>=0.6.21
+#override azure-communication-phonenumbers msrest>=0.6.21
 #override azure-communication-chat azure-core<2.0.0,>=1.19.1
-#override azure-communication-sms azure-core<2.0.0,>=1.11.0
-#override azure-communication-phonenumbers azure-core<2.0.0,>=1.11.0
+#override azure-communication-sms azure-core<2.0.0,>=1.15.0
+#override azure-communication-phonenumbers azure-core<2.0.0,>=1.15.0
 #override azure-communication-identity azure-core<2.0.0,>=1.19.1
 #override azure-communication-networktraversal azure-core<2.0.0,>=1.19.1
 #override azure-mgmt-communication azure-core<2.0.0,>=1.9.0
+#override azure-mgmt-communication azure-mgmt-core>=1.3.0,<2.0.0
 #override azure-ai-metricsadvisor azure-core<2.0.0,>=1.6.0
 #override azure-ai-translation-document azure-core<2.0.0,>=1.14.0
 #override azure-monitor-opentelemetry-exporter azure-core<2.0.0,>=1.6.0