diff --git a/sdk/core/azure-core/azure/core/pipeline/transport/_bigger_block_size_http_adapters.py b/sdk/core/azure-core/azure/core/pipeline/transport/_bigger_block_size_http_adapters.py
new file mode 100644
index 0000000..0bb8d9d
--- /dev/null
+++ b/sdk/core/azure-core/azure/core/pipeline/transport/_bigger_block_size_http_adapters.py
@@ -0,0 +1,45 @@
+# --------------------------------------------------------------------------
+#
+# Copyright (c) Microsoft Corporation. All rights reserved.
+#
+# The MIT License (MIT)
+#
+# Permission is hereby granted, free of charge, to any person obtaining a copy
+# of this software and associated documentation files (the ""Software""), to
+# deal in the Software without restriction, including without limitation the
+# rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
+# sell copies of the Software, and to permit persons to whom the Software is
+# furnished to do so, subject to the following conditions:
+#
+# The above copyright notice and this permission notice shall be included in
+# all copies or substantial portions of the Software.
+#
+# THE SOFTWARE IS PROVIDED *AS IS*, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+# FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
+# IN THE SOFTWARE.
+#
+# --------------------------------------------------------------------------
+
+import sys
+from requests.adapters import HTTPAdapter
+
+
+class BiggerBlockSizeHTTPAdapter(HTTPAdapter):
+    def get_connection(self, url, proxies=None):
+        """Returns a urllib3 connection for the given URL. This should not be
+        called from user code, and is only exposed for use when subclassing the
+        :class:`HTTPAdapter <requests.adapters.HTTPAdapter>`.
+
+        :param url: The URL to connect to.
+        :param proxies: (optional) A Requests-style dictionary of proxies used on this request.
+        :rtype: urllib3.ConnectionPool
+        """
+        conn = super(BiggerBlockSizeHTTPAdapter, self).get_connection(url, proxies)
+        system_version = tuple(sys.version_info)[:3]
+        if system_version[:2] >= (3, 7):
+            conn.conn_kw = {"blocksize": 32768}
+        return conn
diff --git a/sdk/core/azure-core/azure/core/pipeline/transport/_requests_basic.py b/sdk/core/azure-core/azure/core/pipeline/transport/_requests_basic.py
index ea0e7b0..987222e 100644
--- a/sdk/core/azure-core/azure/core/pipeline/transport/_requests_basic.py
+++ b/sdk/core/azure-core/azure/core/pipeline/transport/_requests_basic.py
@@ -43,6 +43,7 @@
     HttpResponse,
     _HttpResponseBase
 )
+from ._bigger_block_size_http_adapters import BiggerBlockSizeHTTPAdapter
 
 PipelineType = TypeVar("PipelineType")
 
@@ -213,7 +214,7 @@ def _init_session(self, session):
         """
         session.trust_env = self._use_env_settings
         disable_retries = Retry(total=False, redirect=False, raise_on_status=False)
-        adapter = requests.adapters.HTTPAdapter(max_retries=disable_retries)
+        adapter = BiggerBlockSizeHTTPAdapter(max_retries=disable_retries)
         for p in self._protocols:
             session.mount(p, adapter)