diff --git a/common/config/rush/common-versions.json b/common/config/rush/common-versions.json
index 370904e4d4c8..645d27ee8fb1 100644
--- a/common/config/rush/common-versions.json
+++ b/common/config/rush/common-versions.json
@@ -52,9 +52,6 @@
     // Following is required to allow for backward compatibility with Event Processor Host Track 1
     "@azure/event-hubs": ["^2.1.4"],
 
-    // Exception for storage before the preview release
-    "@azure/core-http": ["^1.1.1"],
-
     // Allow storage-blob-changefeed and storage-file-datalake to use the preview version of storage-blob.
     "@azure/storage-blob": ["^12.2.0-preview.1"]
   }
diff --git a/sdk/keyvault/keyvault-admin/package.json b/sdk/keyvault/keyvault-admin/package.json
index 77fa7e20fa73..8674cd7f0fc9 100644
--- a/sdk/keyvault/keyvault-admin/package.json
+++ b/sdk/keyvault/keyvault-admin/package.json
@@ -72,7 +72,7 @@
   },
   "sideEffects": false,
   "dependencies": {
-    "@azure/core-http": "^1.1.1",
+    "@azure/core-http": "^1.1.4",
     "@azure/core-tracing": "1.0.0-preview.8",
     "@opentelemetry/api": "^0.6.1",
     "tslib": "^2.0.0"
diff --git a/sdk/storage/storage-blob-changefeed/package.json b/sdk/storage/storage-blob-changefeed/package.json
index fc95a0f3559b..fc5de7cb39ae 100644
--- a/sdk/storage/storage-blob-changefeed/package.json
+++ b/sdk/storage/storage-blob-changefeed/package.json
@@ -98,7 +98,7 @@
   "dependencies": {
     "@azure/storage-blob": "^12.2.0-preview.1",
     "@azure/abort-controller": "^1.0.0",
-    "@azure/core-http": "^1.1.1",
+    "@azure/core-http": "^1.1.4",
     "@azure/core-lro": "^1.0.2",
     "@azure/core-paging": "^1.1.1",
     "@azure/core-tracing": "1.0.0-preview.8",
diff --git a/sdk/storage/storage-blob/package.json b/sdk/storage/storage-blob/package.json
index 55501c1dc921..ce12f58880a9 100644
--- a/sdk/storage/storage-blob/package.json
+++ b/sdk/storage/storage-blob/package.json
@@ -101,7 +101,7 @@
   },
   "dependencies": {
     "@azure/abort-controller": "^1.0.0",
-    "@azure/core-http": "^1.1.1",
+    "@azure/core-http": "^1.1.4",
     "@azure/core-lro": "^1.0.2",
     "@azure/core-paging": "^1.1.1",
     "@azure/core-tracing": "1.0.0-preview.8",
diff --git a/sdk/storage/storage-file-datalake/package.json b/sdk/storage/storage-file-datalake/package.json
index 1e6e8d537a7f..88bb6956f75e 100644
--- a/sdk/storage/storage-file-datalake/package.json
+++ b/sdk/storage/storage-file-datalake/package.json
@@ -95,7 +95,7 @@
   },
   "dependencies": {
     "@azure/abort-controller": "^1.0.0",
-    "@azure/core-http": "^1.1.1",
+    "@azure/core-http": "^1.1.4",
     "@azure/core-paging": "^1.1.1",
     "@azure/core-tracing": "1.0.0-preview.8",
     "@azure/logger": "^1.0.0",
diff --git a/sdk/storage/storage-file-share/package.json b/sdk/storage/storage-file-share/package.json
index 66e94722e1c5..9e2b960819e8 100644
--- a/sdk/storage/storage-file-share/package.json
+++ b/sdk/storage/storage-file-share/package.json
@@ -102,7 +102,7 @@
   },
   "dependencies": {
     "@azure/abort-controller": "^1.0.0",
-    "@azure/core-http": "^1.1.1",
+    "@azure/core-http": "^1.1.4",
     "@azure/core-paging": "^1.1.1",
     "@azure/core-tracing": "1.0.0-preview.8",
     "@azure/logger": "^1.0.0",
diff --git a/sdk/storage/storage-queue/package.json b/sdk/storage/storage-queue/package.json
index 65a500f5e460..ef215a8d596f 100644
--- a/sdk/storage/storage-queue/package.json
+++ b/sdk/storage/storage-queue/package.json
@@ -99,7 +99,7 @@
   },
   "dependencies": {
     "@azure/abort-controller": "^1.0.0",
-    "@azure/core-http": "^1.1.1",
+    "@azure/core-http": "^1.1.4",
     "@azure/core-paging": "^1.1.1",
     "@azure/core-tracing": "1.0.0-preview.8",
     "@azure/logger": "^1.0.0",