diff --git a/sdk/cosmosdb/cosmos/CHANGELOG.md b/sdk/cosmosdb/cosmos/CHANGELOG.md
index 4b790b1934dd..07fdc52fe5e9 100644
--- a/sdk/cosmosdb/cosmos/CHANGELOG.md
+++ b/sdk/cosmosdb/cosmos/CHANGELOG.md
@@ -1,8 +1,9 @@
 # Release History
 
-## 3.6.4 (Unreleased)
+## 3.7.0 (Unreleased)
 
-- FEATURE: Allows string value `partitionKey` parameter when creating containers.
+- FEATURE: Allows string value `partitionKey` parameter when creating containers
+- BUGFIX: Support crypto functions in Internet Explorer browser
 
 The following result in the same behavior:
 
@@ -67,7 +68,7 @@ Based on customer feedback, we identified scenarios where it still makes sense t
 ## 3.5.3 (2020-1-06)
 
 - BUG FIX: maxDegreeOfParallelism was defaulting to 1 and should default to the number of partitions of the collection
-- BUF FIX: maxItemCount was defaulting to 10 and should default to undefined
+- BUG FIX: maxItemCount was defaulting to 10 and should default to undefined
 - Set default TLS version to 1.2 (#6761)
 - Use tslib 1.10.0 (#6710)
 - Add partition key to code sample (#6612)
diff --git a/sdk/cosmosdb/cosmos/package.json b/sdk/cosmosdb/cosmos/package.json
index 19eadc77a62a..45d396b2fcb9 100644
--- a/sdk/cosmosdb/cosmos/package.json
+++ b/sdk/cosmosdb/cosmos/package.json
@@ -1,6 +1,6 @@
 {
   "name": "@azure/cosmos",
-  "version": "3.6.4",
+  "version": "3.7.0",
   "description": "Microsoft Azure Cosmos DB Service Node.js SDK for SQL API",
   "sdk-type": "client",
   "keywords": [
diff --git a/sdk/cosmosdb/cosmos/src/utils/digest.browser.ts b/sdk/cosmosdb/cosmos/src/utils/digest.browser.ts
index 0ab348a270bf..e079e1bd49b5 100644
--- a/sdk/cosmosdb/cosmos/src/utils/digest.browser.ts
+++ b/sdk/cosmosdb/cosmos/src/utils/digest.browser.ts
@@ -1,14 +1,9 @@
 import { encodeUTF8 } from "./encode";
-
-const globalThis = typeof self === "undefined" ? window : self;
+import { globalCrypto } from "./globalCrypto";
 
 export async function digest(str: string) {
-  if (!globalThis || !globalThis.crypto || !globalThis.crypto.subtle) {
-    throw new Error("Browser does not support cryptography functions");
-  }
-
   const data = encodeUTF8(str);
-  const hash = await globalThis.crypto.subtle.digest("SHA-256", data);
+  const hash = await globalCrypto.subtle.digest("SHA-256", data);
   return bufferToHex(hash);
 }
 
diff --git a/sdk/cosmosdb/cosmos/src/utils/globalCrypto.ts b/sdk/cosmosdb/cosmos/src/utils/globalCrypto.ts
new file mode 100644
index 000000000000..71a0e478ce76
--- /dev/null
+++ b/sdk/cosmosdb/cosmos/src/utils/globalCrypto.ts
@@ -0,0 +1,13 @@
+const globalRef: any = typeof self === "undefined" ? window : self;
+
+if (!globalThis) {
+  throw new Error("Could not find global");
+}
+
+const globalCrypto: Crypto = globalRef.crypto || globalRef.msCrypto;
+
+if (!globalCrypto || !globalCrypto.subtle) {
+  throw new Error("Browser does not support cryptography functions");
+}
+
+export { globalCrypto };
diff --git a/sdk/cosmosdb/cosmos/src/utils/hmac.browser.ts b/sdk/cosmosdb/cosmos/src/utils/hmac.browser.ts
index 804eadadaaeb..d7ec726837da 100644
--- a/sdk/cosmosdb/cosmos/src/utils/hmac.browser.ts
+++ b/sdk/cosmosdb/cosmos/src/utils/hmac.browser.ts
@@ -1,25 +1,17 @@
 import { encodeUTF8, encodeBase64 } from "./encode";
 import atob from "./atob";
-
-const globalThis = typeof self === "undefined" ? window : self;
+import { globalCrypto } from "./globalCrypto";
 
 export async function hmac(key: string, message: string) {
-  if (!globalThis || !globalThis.crypto || !globalThis.crypto.subtle) {
-    throw new Error("Browser does not support cryptography functions");
-  }
   const importParams: HmacImportParams = { name: "HMAC", hash: { name: "SHA-256" } };
   const encodedMessage = new Uint8Array(
     [...unescape(encodeURIComponent(message))].map((c) => c.charCodeAt(0))
   );
   const encodedKey = encodeUTF8(atob(key));
-  const cryptoKey = await globalThis.crypto.subtle.importKey(
-    "raw",
-    encodedKey,
-    importParams,
-    false,
-    ["sign"]
-  );
-  const signature = await globalThis.crypto.subtle.sign(importParams, cryptoKey, encodedMessage);
+  const cryptoKey = await globalCrypto.subtle.importKey("raw", encodedKey, importParams, false, [
+    "sign"
+  ]);
+  const signature = await globalCrypto.subtle.sign(importParams, cryptoKey, encodedMessage);
 
   return encodeBase64(signature);
 }