diff --git a/gunicorn/http/wsgi.py b/gunicorn/http/wsgi.py
index 1d48467d1..00b8f74fe 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.is_fileobject(respiter.filelike):
             return False
 
         try:
diff --git a/gunicorn/util.py b/gunicorn/util.py
index ac2ca769e..a8875d90e 100644
--- a/gunicorn/util.py
+++ b/gunicorn/util.py
@@ -511,13 +511,13 @@ def to_bytestring(value, encoding="utf8"):
     return value.encode(encoding)
 
 def is_fileobject(obj):
-    if not hasattr(obj, "tell") or not hasattr(obj, "fileno"):
+    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