diff --git a/.travis.yml b/.travis.yml
index f8e5cc0..a9ef5e4 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -60,7 +60,7 @@ 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 istanbul for coverage
diff --git a/package.json b/package.json
index d99e252..56fb3f8 100644
--- a/package.json
+++ b/package.json
@@ -19,7 +19,7 @@
   },
   "devDependencies": {
     "after": "0.8.2",
-    "eslint": "6.8.0",
+    "eslint": "7.4.0",
     "eslint-plugin-markdown": "1.0.2",
     "finalhandler": "1.1.2",
     "istanbul": "0.4.5",