diff --git a/tests/dep-time-travel.sh b/tests/dep-time-travel.sh
index eae24998d..fcd3cda1d 100755
--- a/tests/dep-time-travel.sh
+++ b/tests/dep-time-travel.sh
@@ -4,6 +4,12 @@
 
 npm install --no-save eslint@$ESLINT_VERSION --ignore-scripts || true
 
+# completely remove the new typescript parser for ESLint < v5
+if [[ "$ESLINT_VERSION" -lt "5" ]]; then
+  echo "Removing @typescript-eslint/parser..."
+  npm uninstall @typescript-eslint/parser
+fi
+
 # use these alternate typescript dependencies for ESLint < v4
 if [[ "$ESLINT_VERSION" -lt "4" ]]; then
   echo "Downgrading babel-eslint..."