diff --git a/.travis.yml b/.travis.yml
index 3446a41..505a687 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -50,7 +50,7 @@ before_install:
   # Setup Node.js version-specific dependencies
   - |
     # Configure eslint for linting
-    if node_version_lt '8.0'; then npm_remove_module_re '^eslint(-|$)'
+    if node_version_lt '10.0'; then npm_remove_module_re '^eslint(-|$)'
     fi
   - |
     # Configure mocha for testing
diff --git a/package.json b/package.json
index 3f60dfe..38d774c 100644
--- a/package.json
+++ b/package.json
@@ -23,7 +23,7 @@
     "uid-safe": "2.1.5"
   },
   "devDependencies": {
-    "eslint": "6.8.0",
+    "eslint": "7.2.0",
     "eslint-plugin-markdown": "1.0.2",
     "mkdirp": "0.5.4",
     "mocha": "7.2.0",