diff --git a/lower-constraints.txt b/lower-constraints.txt
index 61ded8d..218d7a4 100644
--- a/lower-constraints.txt
+++ b/lower-constraints.txt
@@ -47,5 +47,5 @@ stevedore==1.20.0
 testtools==2.2.0
 traceback2==1.4.0
 unittest2==1.1.0
-WebOb==1.7.1
+WebOb==1.8.0
 wrapt==1.7.0
diff --git a/oslo_middleware/healthcheck/__init__.py b/oslo_middleware/healthcheck/__init__.py
index 13985cb..bd81f0b 100644
--- a/oslo_middleware/healthcheck/__init__.py
+++ b/oslo_middleware/healthcheck/__init__.py
@@ -552,8 +552,10 @@ Reason
             status = self.HEAD_HEALTHY_TO_STATUS_CODES[healthy]
         else:
             status = self.HEALTHY_TO_STATUS_CODES[healthy]
-            accept_type = req.accept.best_match(self._accept_order)
-            if not accept_type:
+            try:
+                offers = req.accept.acceptable_offers(self._accept_order)
+                accept_type = offers[0][0]
+            except IndexError:
                 accept_type = self._default_accept
             functor = self._accept_to_functor[accept_type]
         body, content_type = functor(results, healthy)
diff --git a/requirements.txt b/requirements.txt
index 2273d00..2304183 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -10,6 +10,6 @@ oslo.i18n>=3.15.3 # Apache-2.0
 oslo.utils>=3.33.0 # Apache-2.0
 six>=1.10.0 # MIT
 stevedore>=1.20.0 # Apache-2.0
-WebOb>=1.7.1 # MIT
+WebOb>=1.8.0 # MIT
 debtcollector>=1.2.0 # Apache-2.0
 statsd>=3.2.1 # MIT