diff --git a/docker/README.md b/docker/README.md
index 733d930b..541b7612 100644
--- a/docker/README.md
+++ b/docker/README.md
@@ -58,7 +58,9 @@ ut-run-tests . --file Example.sublime-syntax
 
 The container entrypoint writes a marker in `/root/.cache/unittesting`.
 With `-v unittesting-home:/root`, bootstrap/install runs once and later runs
-only refresh your package files and execute tests.
+only refresh your package files and execute tests. Each run removes the
+session that Sublime Text saved in the previous run, so that no views from
+earlier runs are open when the tests start.
 
 ## Concurrent runs and races
 
diff --git a/docker/entrypoint.sh b/docker/entrypoint.sh
index 07f8f11e..e58ba16e 100644
--- a/docker/entrypoint.sh
+++ b/docker/entrypoint.sh
@@ -115,6 +115,14 @@ ensure_sublime_text_arch_matches() {
     fi
 }
 
+clear_saved_session() {
+    # Sublime Text is killed after the tests, so the cache volume keeps the
+    # session that it last saved, with the views that tests had open then.
+    # Start without it, like a CI runner does, so that Sublime Text doesn't
+    # restore those views.
+    rm -f "${ST_PACKAGES_DIR%/*}/Local/"*.sublime_session
+}
+
 ensure_sublime_text_arch_matches
 sudo sh -e /etc/init.d/xvfb start
 ensure_git_identity
@@ -127,6 +135,7 @@ if [ "$SUBLIME_TEXT_VERSION" -ge 4 ]; then
 else
     ST_PACKAGES_DIR="$HOME/.config/sublime-text-$SUBLIME_TEXT_VERSION/Packages"
 fi
+clear_saved_session
 
 if [ -d "$UNITTESTING_SOURCE/sbin" ]; then
     # Ensure UnitTesting comes from the local checkout running this script,