diff --git a/Lib/email/message.py b/Lib/email/message.py
index 412a550..d89e37e 100644
--- a/Lib/email/message.py
+++ b/Lib/email/message.py
@@ -681,7 +681,7 @@
         missing = object()
         filename = self.get_param('filename', missing, 'content-disposition')
         if filename is missing:
-            filename = self.get_param('name', missing, 'content-disposition')
+            filename = self.get_param('name', missing, 'content-type')
         if filename is missing:
             return failobj
         return utils.collapse_rfc2231_value(filename).strip()
diff --git a/Lib/email/test/data/msg_44.txt b/Lib/email/test/data/msg_44.txt
index ae462a6..15a2252 100644
--- a/Lib/email/test/data/msg_44.txt
+++ b/Lib/email/test/data/msg_44.txt
@@ -16,16 +16,14 @@
 
 
 --h90VIIIKmx
-Content-Type: text/plain
-Content-Disposition: inline; name="msg.txt"
+Content-Type: text/plain; name="msg.txt"
 Content-Transfer-Encoding: 7bit
 
 a simple kind of mirror
 to reflect upon our own
 
 --h90VIIIKmx
-Content-Type: text/plain
-Content-Disposition: inline; name="msg.txt"
+Content-Type: text/plain; name="msg.txt"
 Content-Transfer-Encoding: 7bit
 
 a simple kind of mirror
diff --git a/Misc/ACKS b/Misc/ACKS
index 5ca0446..e8005e9 100644
--- a/Misc/ACKS
+++ b/Misc/ACKS
@@ -811,6 +811,7 @@
 Klaus-Juergen Wolf
 Dan Wolfe
 Richard Wolff
+Darren Worrall
 Gordon Worley
 Thomas Wouters
 Heiko Wundram
diff --git a/Misc/NEWS b/Misc/NEWS
index 1d8d744..49e7d1a 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -27,6 +27,9 @@
 Library
 -------
 
+- Issue #7082: When falling back to the MIME 'name' parameter, the
+  correct place to look for it is the Content-Type header.
+
 - Make tokenize.detect_coding() normalize utf-8 and iso-8859-1 variants like the
   builtin tokenizer.