diff --git a/.drone.yml b/.drone.yml
index 5f94096bc..50f6a1b74 100644
--- a/.drone.yml
+++ b/.drone.yml
@@ -1,19 +1,40 @@
-pipeline:
-  build:
-    image: python:${PYTHON_VERSION}-alpine${ALPINE_VERSION}
-    pull: true
-    commands:
-      - python -m pip install --upgrade pip==19.1.1
-      - pip install tox==3.10.0
-      - tox
-      - apk add --no-cache borgbackup
-      - tox -e end-to-end
+---
+kind: pipeline
+name: python-3-5-alpine-3-9
 
-matrix:
-  ALPINE_VERSION:
-    - 3.7
-    - 3.9
-  PYTHON_VERSION:
-    - 3.5
-    - 3.6
-    - 3.7
+steps:
+- name: build
+  image: python:3.5-alpine3.9
+  pull: always
+  commands:
+    - scripts/run-tests
+---
+kind: pipeline
+name: python-3-6-alpine-3-9
+
+steps:
+- name: build
+  image: python:3.6-alpine3.9
+  pull: always
+  commands:
+    - scripts/run-tests
+---
+kind: pipeline
+name: python-3-7-alpine-3-9
+
+steps:
+- name: build
+  image: python:3.7-alpine3.9
+  pull: always
+  commands:
+    - scripts/run-tests
+---
+kind: pipeline
+name: python-3-7-alpine-3-7
+
+steps:
+- name: build
+  image: python:3.7-alpine3.7
+  pull: always
+  commands:
+    - scripts/run-tests
diff --git a/NEWS b/NEWS
index d51e88026..4b4c2d832 100644
--- a/NEWS
+++ b/NEWS
@@ -4,6 +4,7 @@
  * Add #borgmatic Freenode IRC channel to documentation.
  * Add Borg/borgmatic hosting providers section to documentation.
  * Add files for building documentation into a Docker image for web serving.
+ * Upgrade project build server from Drone 0.8 to 1.1.
 
 1.3.5
  * #153: Support for various Borg directory environment variables (BORG_CONFIG_DIR, BORG_CACHE_DIR,
diff --git a/scripts/run-tests b/scripts/run-tests
new file mode 100755
index 000000000..62f9862b5
--- /dev/null
+++ b/scripts/run-tests
@@ -0,0 +1,13 @@
+#!/bin/sh
+
+# This script is intended to be run from the continuous integration build
+# server, and not on a developer machine. For that, see:
+# https://torsion.org/borgmatic/docs/how-to/develop-on-borgmatic/
+
+set -e
+
+python -m pip install --upgrade pip==19.1.1
+pip install tox==3.10.0
+tox
+apk add --no-cache borgbackup
+tox -e end-to-end