diff --git a/httpcore-0.13.3.tar.gz b/httpcore-0.13.3.tar.gz
deleted file mode 100644
index 946c0b3..0000000
--- a/httpcore-0.13.3.tar.gz
+++ /dev/null
@@ -1,3 +0,0 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:0d8d48d4309a59ebadddb3ae6d5aedd6b27d42c6d62814ecdc4ed6309aa2b4bc
-size 64246
diff --git a/httpcore-0.13.6.tar.gz b/httpcore-0.13.6.tar.gz
new file mode 100644
index 0000000..f6e7ebe
--- /dev/null
+++ b/httpcore-0.13.6.tar.gz
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76250306b8ea9d1d03654ce59ff9f904f0a9e3a54d719bae0503b0cd55b87c3d
+size 64716
diff --git a/python-httpcore.changes b/python-httpcore.changes
index 60c1b2b..d79f9b6 100644
--- a/python-httpcore.changes
+++ b/python-httpcore.changes
@@ -1,3 +1,23 @@
+-------------------------------------------------------------------
+Thu Jul  8 08:16:46 UTC 2021 - Antonio Larrosa <alarrosa@suse.com>
+
+- Update to v0.13.6
+  * Fixed
+    - Close sockets when read or write timeouts occur. (Pull #365)
+
+- Update to v0.13.5
+  * Fixed
+    - Resolved niggles with AnyIO EOF behaviours. (Pull #358, #362)
+
+- Update to v0.13.4
+  * Added
+    - Improved error messaging when URL scheme is missing, or
+      a non HTTP(S) scheme is used. (Pull #354)
+  * Fixed
+    - Switched to anyio as the default backend implementation when
+      running with asyncio. Resolves some awkward TLS timeout
+      issues.
+
 -------------------------------------------------------------------
 Thu Jun  3 09:10:31 UTC 2021 - Antonio Larrosa <alarrosa@suse.com>
 
diff --git a/python-httpcore.spec b/python-httpcore.spec
index 54b2225..715f906 100644
--- a/python-httpcore.spec
+++ b/python-httpcore.spec
@@ -20,7 +20,7 @@
 %define skip_python2 1
 %define skip_python36 1
 Name:           python-httpcore
-Version:        0.13.3
+Version:        0.13.6
 Release:        0
 Summary:        Minimal low-level Python HTTP client
 License:        BSD-3-Clause
@@ -37,18 +37,18 @@ Requires:       python-h2 >= 3.0
 Requires:       python-idna >= 2.0
 Requires:       python-rfc3986 >= 1.0
 Requires:       python-sniffio >= 1.0
-Recommends:     python-anyio >= 3.0.1
+Recommends:     python-anyio >= 3.1.0
 BuildArch:      noarch
 # SECTION test requirements
-BuildRequires:  %{python_module anyio >= 3.0.1}
+BuildRequires:  %{python_module anyio >= 3.1.0}
 BuildRequires:  %{python_module certifi}
 BuildRequires:  %{python_module chardet >= 3.0}
 BuildRequires:  %{python_module h11 >= 0.11.0}
 BuildRequires:  %{python_module h2 >= 3.0}
 BuildRequires:  %{python_module idna >= 2.0}
 BuildRequires:  %{python_module mitmproxy}
-BuildRequires:  %{python_module pproxy >= 2.7.7}
-BuildRequires:  %{python_module pytest >= 6.2.3}
+BuildRequires:  %{python_module pproxy >= 2.7.8}
+BuildRequires:  %{python_module pytest >= 6.2.4}
 BuildRequires:  %{python_module pytest-asyncio >= 0.15.1}
 BuildRequires:  %{python_module pytest-curio}
 BuildRequires:  %{python_module pytest-tornasync}