diff --git a/gunicorn/http/wsgi.py b/gunicorn/http/wsgi.py
index 1d48467d12..6ca3b4fb7b 100644
--- a/gunicorn/http/wsgi.py
+++ b/gunicorn/http/wsgi.py
@@ -353,9 +353,7 @@ def sendfile(self, respiter):
         if self.cfg.is_ssl or not self.can_sendfile():
             return False
 
-        try:
-            fileno = respiter.filelike.fileno()
-        except AttributeError:
+        if not util.has_fileno(respiter.filelike):
             return False
 
         try:
diff --git a/gunicorn/util.py b/gunicorn/util.py
index ac2ca769e1..896a22141a 100644
--- a/gunicorn/util.py
+++ b/gunicorn/util.py
@@ -510,14 +510,14 @@ def to_bytestring(value, encoding="utf8"):
 
     return value.encode(encoding)
 
-def is_fileobject(obj):
-    if not hasattr(obj, "tell") or not hasattr(obj, "fileno"):
+def has_fileno(obj):
+    if not hasattr(obj, "fileno"):
         return False
 
     # check BytesIO case and maybe others
     try:
         obj.fileno()
-    except (IOError, io.UnsupportedOperation):
+    except (AttributeError, IOError, io.UnsupportedOperation):
         return False
 
     return True