diff --git a/anymail/backends/sendgrid.py b/anymail/backends/sendgrid.py
index 5238df4..91016c5 100644
--- a/anymail/backends/sendgrid.py
+++ b/anymail/backends/sendgrid.py
@@ -1,14 +1,13 @@
 import uuid
-from collections import Mapping
-from email.utils import quote as rfc822_quote
 import warnings
+from email.utils import quote as rfc822_quote
 
 from requests.structures import CaseInsensitiveDict
 
 from .base_requests import AnymailRequestsBackend, RequestsPayload
 from ..exceptions import AnymailConfigurationError, AnymailRequestsAPIError, AnymailWarning
 from ..message import AnymailRecipientStatus
-from ..utils import BASIC_NUMERIC_TYPES, get_anymail_setting, timestamp, update_deep
+from ..utils import BASIC_NUMERIC_TYPES, Mapping, get_anymail_setting, timestamp, update_deep
 
 
 class EmailBackend(AnymailRequestsBackend):
diff --git a/anymail/utils.py b/anymail/utils.py
index f0e2c64..defb912 100644
--- a/anymail/utils.py
+++ b/anymail/utils.py
@@ -1,7 +1,6 @@
 import base64
 import mimetypes
 from base64 import b64encode
-from collections import Mapping, MutableMapping
 from datetime import datetime
 from email.mime.base import MIMEBase
 from email.utils import formatdate, getaddresses, unquote
@@ -15,6 +14,11 @@ from django.utils.functional import Promise
 from django.utils.timezone import utc, get_fixed_timezone
 from six.moves.urllib.parse import urlsplit, urlunsplit
 
+try:
+    from collections.abc import Mapping, MutableMapping  # Python 3.3+
+except ImportError:
+    from collections import Mapping, MutableMapping
+
 from .exceptions import AnymailConfigurationError, AnymailInvalidAddress