diff --git a/sdk/storage/azure-storage-file-datalake/setup.py b/sdk/storage/azure-storage-file-datalake/setup.py
index f0ae61597e77..debab1ad9005 100644
--- a/sdk/storage/azure-storage-file-datalake/setup.py
+++ b/sdk/storage/azure-storage-file-datalake/setup.py
@@ -91,9 +91,9 @@
         'tests',
     ]),
     install_requires=[
-        "azure-core<2.0.0,>=1.2.2",
+        "azure-core<2.0.0,>=1.4.0",
         "msrest>=0.6.10",
-        "azure-storage-blob~=12.0"
+        "azure-storage-blob>=12.3.1"
     ],
     extras_require={
         ":python_version<'3.0'": ['futures', 'azure-storage-nspkg<4.0.0,>=3.0.0'],
diff --git a/shared_requirements.txt b/shared_requirements.txt
index be2db1ee2480..85a1b452d288 100644
--- a/shared_requirements.txt
+++ b/shared_requirements.txt
@@ -131,7 +131,8 @@ six>=1.6
 #override azure-storage-queue msrest>=0.6.10
 #override azure-storage-file-share msrest>=0.6.10
 #override azure-storage-file-datalake msrest>=0.6.10
-#override azure-storage-file-datalake azure-storage-blob~=12.0
+#override azure-storage-file-datalake azure-storage-blob>=12.3.1
+#override azure-storage-file-datalake azure-core<2.0.0,>=1.4.0
 opencensus>=0.6.0
 opencensus-ext-threading
 opencensus-ext-azure>=0.3.1