diff --git a/requirements-py3.txt b/requirements-py3.txt
index d15bd16..ffb3942 100644
--- a/requirements-py3.txt
+++ b/requirements-py3.txt
@@ -1,5 +1,5 @@
 six>=1.9.0
-WebOb>=1.2.3
+WebOb>=1.8.0
 simplegeneric
 pytz
 netaddr>=0.7.12
diff --git a/requirements.txt b/requirements.txt
index d15bd16..ffb3942 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,5 +1,5 @@
 six>=1.9.0
-WebOb>=1.2.3
+WebOb>=1.8.0
 simplegeneric
 pytz
 netaddr>=0.7.12
diff --git a/wsme/protocol.py b/wsme/protocol.py
index b0107ab..f7c66da 100644
--- a/wsme/protocol.py
+++ b/wsme/protocol.py
@@ -126,7 +126,7 @@ def media_type_accept(request, content_types):
     """
     if request.method in ['GET', 'HEAD']:
         if request.accept:
-            if request.accept.best_match(content_types):
+            if request.accept.acceptable_offers(content_types):
                 return True
             error_message = ('Unacceptable Accept type: %s not in %s'
                              % (request.accept, content_types))
diff --git a/wsme/rest/protocol.py b/wsme/rest/protocol.py
index 5201ccf..1ecf4de 100644
--- a/wsme/rest/protocol.py
+++ b/wsme/rest/protocol.py
@@ -41,7 +41,11 @@ class RestProtocol(Protocol):
         context.outformat = None
         ext = os.path.splitext(request.path.split('/')[-1])[1]
         inmime = request.content_type
-        outmime = request.accept.best_match(self.content_types)
+        try:
+            offers = request.accept.acceptable_offers(self.content_types)
+            outmime = offers[0][0]
+        except IndexError:
+            outmime = None
 
         outformat = None
         informat = None
diff --git a/wsme/root.py b/wsme/root.py
index e71f1f7..7a41bc5 100644
--- a/wsme/root.py
+++ b/wsme/root.py
@@ -317,7 +317,11 @@ class WSRoot(object):
             # Attempt to correctly guess what content-type we should return.
             ctypes = [ct for ct in protocol.content_types if ct]
             if ctypes:
-                res_content_type = request.accept.best_match(ctypes)
+                try:
+                    offers = request.accept.acceptable_offers(ctypes)
+                    res_content_type = offers[0][0]
+                except IndexError:
+                    res_content_type = None
 
         # If not we will attempt to convert the body to an accepted
         # output format.