diff --git a/.cirrus.yml b/.cirrus.yml
index e00c1b7385..6a496f00a3 100644
--- a/.cirrus.yml
+++ b/.cirrus.yml
@@ -61,6 +61,14 @@ task:
   env:
     FILE_ENV: "./ci/test/00_setup_env_arm.sh"
 
+task:
+  name: 'Win64  [GOAL: deploy]  [unit tests, no gui, no boost::process, no functional tests]'
+  << : *GLOBAL_TASK_TEMPLATE
+  container:
+    image: ubuntu:bionic
+  env:
+    FILE_ENV: "./ci/test/00_setup_env_win64.sh"
+
 task:
   name: 'x86_64 Linux  [GOAL: install]  [bionic]  [C++17, previous releases, uses qt5 dev package and some depends packages] [unsigned char]'
   << : *GLOBAL_TASK_TEMPLATE
diff --git a/.travis.yml b/.travis.yml
index f1f695d2b4..656eed9871 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -65,11 +65,6 @@ jobs:
       script:
         - set -o errexit; source ./ci/lint/06_script.sh
 
-    - stage: test
-      name: 'Win64  [GOAL: deploy]  [unit tests, no gui, no boost::process, no functional tests]'
-      env: >-
-        FILE_ENV="./ci/test/00_setup_env_win64.sh"
-
     - stage: test
       name: '32-bit + dash  [GOAL: install]  [CentOS 7]  [gui]'
       env: >-
diff --git a/ci/test/00_setup_env_win64.sh b/ci/test/00_setup_env_win64.sh
index 2b351dff6d..72cc3f63c4 100644
--- a/ci/test/00_setup_env_win64.sh
+++ b/ci/test/00_setup_env_win64.sh
@@ -9,7 +9,7 @@ export LC_ALL=C.UTF-8
 export CONTAINER_NAME=ci_win64
 export DOCKER_NAME_TAG=ubuntu:18.04  # Check that bionic can cross-compile to win64 (bionic is used in the gitian build as well)
 export HOST=x86_64-w64-mingw32
-export PACKAGES="python3 nsis g++-mingw-w64-x86-64 wine-binfmt wine64"
+export PACKAGES="python3 nsis g++-mingw-w64-x86-64 wine-binfmt wine64 file"
 export RUN_FUNCTIONAL_TESTS=false
 export RUN_SECURITY_TESTS="true"
 export GOAL="deploy"
diff --git a/ci/test/04_install.sh b/ci/test/04_install.sh
index ea3e7bcd4e..db74fe6569 100755
--- a/ci/test/04_install.sh
+++ b/ci/test/04_install.sh
@@ -26,9 +26,7 @@ export LSAN_OPTIONS="suppressions=${BASE_ROOT_DIR}/test/sanitizer_suppressions/l
 export TSAN_OPTIONS="suppressions=${BASE_ROOT_DIR}/test/sanitizer_suppressions/tsan:halt_on_error=1:log_path=${BASE_SCRATCH_DIR}/sanitizer-output/tsan"
 export UBSAN_OPTIONS="suppressions=${BASE_ROOT_DIR}/test/sanitizer_suppressions/ubsan:print_stacktrace=1:halt_on_error=1:report_error_type=1"
 env | grep -E '^(BITCOIN_CONFIG|BASE_|QEMU_|CCACHE_|LC_ALL|BOOST_TEST_RANDOM|DEBIAN_FRONTEND|CONFIG_SHELL|(ASAN|LSAN|TSAN|UBSAN)_OPTIONS|PREVIOUS_RELEASES_DIR)' | tee /tmp/env
-if [[ $HOST = *-mingw32 ]]; then
-  DOCKER_ADMIN="--cap-add SYS_ADMIN"
-elif [[ $BITCOIN_CONFIG = *--with-sanitizers=*address* ]]; then # If ran with (ASan + LSan), Docker needs access to ptrace (https://github.com/google/sanitizers/issues/764)
+if [[ $BITCOIN_CONFIG = *--with-sanitizers=*address* ]]; then # If ran with (ASan + LSan), Docker needs access to ptrace (https://github.com/google/sanitizers/issues/764)
   DOCKER_ADMIN="--cap-add SYS_PTRACE"
 fi
 
diff --git a/ci/test/06_script_b.sh b/ci/test/06_script_b.sh
index 87e9f31d0f..7aea21f257 100755
--- a/ci/test/06_script_b.sh
+++ b/ci/test/06_script_b.sh
@@ -6,6 +6,15 @@
 
 export LC_ALL=C.UTF-8
 
+if [[ $HOST = *-mingw32 ]]; then
+  BEGIN_FOLD wrap-wine
+  # Generate all binaries, so that they can be wrapped
+  DOCKER_EXEC make $MAKEJOBS -C src/secp256k1 VERBOSE=1
+  DOCKER_EXEC make $MAKEJOBS -C src/univalue VERBOSE=1
+  DOCKER_EXEC "${BASE_ROOT_DIR}/ci/test/wrap-wine.sh"
+  END_FOLD
+fi
+
 if [ -n "$QEMU_USER_CMD" ]; then
   BEGIN_FOLD wrap-qemu
   # Generate all binaries, so that they can be wrapped
diff --git a/ci/test/wrap-wine.sh b/ci/test/wrap-wine.sh
new file mode 100755
index 0000000000..58a8983e6e
--- /dev/null
+++ b/ci/test/wrap-wine.sh
@@ -0,0 +1,20 @@
+#!/usr/bin/env bash
+#
+# Copyright (c) 2020 The Bitcoin Core developers
+# Distributed under the MIT software license, see the accompanying
+# file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+export LC_ALL=C.UTF-8
+
+for b_name in {"${BASE_OUTDIR}/bin"/*,src/secp256k1/*tests,src/univalue/{no_nul,test_json,unitester,object}}.exe; do
+    # shellcheck disable=SC2044
+    for b in $(find "${BASE_ROOT_DIR}" -executable -type f -name "$(basename $b_name)"); do
+      if (file "$b" | grep "Windows"); then
+        echo "Wrap $b ..."
+        mv "$b" "${b}_orig"
+        echo '#!/usr/bin/env bash' > "$b"
+        echo "wine64 \"${b}_orig\" \"\$@\"" >> "$b"
+        chmod +x "$b"
+      fi
+    done
+done