diff --git a/Lib/ssl.py b/Lib/ssl.py
index 61bd775f759..0726caee49a 100644
--- a/Lib/ssl.py
+++ b/Lib/ssl.py
@@ -327,12 +327,22 @@ def _inet_paton(ipname):
     Supports IPv4 addresses on all platforms and IPv6 on platforms with IPv6
     support.
     """
-    # inet_aton() also accepts strings like '1'
-    if ipname.count('.') == 3:
-        try:
-            return _socket.inet_aton(ipname)
-        except OSError:
-            pass
+    # inet_aton() also accepts strings like '1', '127.1', some also trailing
+    # data like '127.0.0.1 whatever'.
+    try:
+        addr = _socket.inet_aton(ipname)
+    except OSError:
+        # not an IPv4 address
+        pass
+    else:
+        if _socket.inet_ntoa(addr) == ipname:
+            # only accept injective ipnames
+            return addr
+        else:
+            # refuse for short IPv4 notation and additional trailing data
+            raise ValueError(
+                "{!r} is not a quad-dotted IPv4 address.".format(ipname)
+            )
 
     try:
         return _socket.inet_pton(_socket.AF_INET6, ipname)
@@ -346,14 +356,15 @@ def _inet_paton(ipname):
     raise ValueError("{!r} is not an IPv4 address.".format(ipname))
 
 
-def _ipaddress_match(ipname, host_ip):
+def _ipaddress_match(cert_ipaddress, host_ip):
     """Exact matching of IP addresses.
 
     RFC 6125 explicitly doesn't define an algorithm for this
     (section 1.7.2 - "Out of Scope").
     """
-    # OpenSSL may add a trailing newline to a subjectAltName's IP address
-    ip = _inet_paton(ipname.rstrip())
+    # OpenSSL may add a trailing newline to a subjectAltName's IP address,
+    # commonly woth IPv6 addresses. Strip off trailing \n.
+    ip = _inet_paton(cert_ipaddress.rstrip())
     return ip == host_ip
 
 
diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
index 1898990fb79..f1b7aa731e9 100644
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -666,9 +666,14 @@ class BasicSocketTests(unittest.TestCase):
         cert = {'subject': ((('commonName', 'example.com'),),),
                 'subjectAltName': (('DNS', 'example.com'),
                                    ('IP Address', '10.11.12.13'),
-                                   ('IP Address', '14.15.16.17'))}
+                                   ('IP Address', '14.15.16.17'),
+                                   ('IP Address', '127.0.0.1'))}
         ok(cert, '10.11.12.13')
         ok(cert, '14.15.16.17')
+        # socket.inet_ntoa(socket.inet_aton('127.1')) == '127.0.0.1'
+        fail(cert, '127.1')
+        fail(cert, '14.15.16.17 ')
+        fail(cert, '14.15.16.17 extra data')
         fail(cert, '14.15.16.18')
         fail(cert, 'example.net')
 
@@ -681,6 +686,8 @@ class BasicSocketTests(unittest.TestCase):
                         ('IP Address', '2003:0:0:0:0:0:0:BABA\n'))}
             ok(cert, '2001::cafe')
             ok(cert, '2003::baba')
+            fail(cert, '2003::baba ')
+            fail(cert, '2003::baba extra data')
             fail(cert, '2003::bebe')
             fail(cert, 'example.net')
 
diff --git a/Misc/NEWS.d/next/Security/2019-07-01-08-46-14.bpo-37463.1CHwjE.rst b/Misc/NEWS.d/next/Security/2019-07-01-08-46-14.bpo-37463.1CHwjE.rst
new file mode 100644
index 00000000000..4f4a62e7837
--- /dev/null
+++ b/Misc/NEWS.d/next/Security/2019-07-01-08-46-14.bpo-37463.1CHwjE.rst
@@ -0,0 +1,4 @@
+ssl.match_hostname() no longer accepts IPv4 addresses with additional text
+after the address and only quad-dotted notation without trailing
+whitespaces. Some inet_aton() implementations ignore whitespace and all data
+after whitespace, e.g. '127.0.0.1 whatever'.