diff --git a/.cirrus.yml b/.cirrus.yml
index aca8e0b..bf71a70 100644
--- a/.cirrus.yml
+++ b/.cirrus.yml
@@ -320,3 +320,23 @@ task:
     - ./ci/cirrus.sh
   << : *CAT_LOGS
 
+task:
+  name: "C++ -fpermissive"
+  container:
+    dockerfile: ci/linux-debian.Dockerfile
+    cpu: 1
+    memory: 1G
+  env:
+    # ./configure correctly errors out when given CC=g++.
+    # We hack around this by passing CC=g++ only to make.
+    CC: gcc
+    MAKEFLAGS: -j2 CC=g++ CFLAGS=-fpermissive
+    WERROR_CFLAGS:
+    EXPERIMENTAL: yes
+    ECDH: yes
+    RECOVERY: yes
+    SCHNORRSIG: yes
+  << : *MERGE_BASE
+  test_script:
+    - ./ci/cirrus.sh
+  << : *CAT_LOGS
diff --git a/ci/linux-debian.Dockerfile b/ci/linux-debian.Dockerfile
index 6def913..2c02ed6 100644
--- a/ci/linux-debian.Dockerfile
+++ b/ci/linux-debian.Dockerfile
@@ -13,6 +13,7 @@ RUN apt-get install --no-install-recommends --no-upgrade -y \
         git ca-certificates \
         make automake libtool pkg-config dpkg-dev valgrind qemu-user \
         gcc clang llvm libc6-dbg \
+        g++ \
         gcc-i686-linux-gnu libc6-dev-i386-cross libc6-dbg:i386 libubsan1:i386 libasan5:i386 \
         gcc-s390x-linux-gnu libc6-dev-s390x-cross libc6-dbg:s390x \
         gcc-arm-linux-gnueabihf libc6-dev-armhf-cross libc6-dbg:armhf \