diff --git a/lib/cli-engine/config-array/override-tester.js b/lib/cli-engine/config-array/override-tester.js
index 2aaefac7d1c..6f61e4ff1c7 100644
--- a/lib/cli-engine/config-array/override-tester.js
+++ b/lib/cli-engine/config-array/override-tester.js
@@ -55,7 +55,17 @@ function toMatcher(patterns) {
     if (patterns.length === 0) {
         return null;
     }
-    return patterns.map(pattern => new Minimatch(pattern, minimatchOpts));
+    return patterns.map(pattern => {
+        if (/^\.[/\\]/u.test(pattern)) {
+            return new Minimatch(
+                pattern.slice(2),
+
+                // `./*.js` should not match with `subdir/foo.js`
+                { ...minimatchOpts, matchBase: false }
+            );
+        }
+        return new Minimatch(pattern, minimatchOpts);
+    });
 }
 
 /**
diff --git a/tests/lib/cli-engine/config-array/override-tester.js b/tests/lib/cli-engine/config-array/override-tester.js
index f351cfaa197..554ebb421d7 100644
--- a/tests/lib/cli-engine/config-array/override-tester.js
+++ b/tests/lib/cli-engine/config-array/override-tester.js
@@ -191,10 +191,10 @@ describe("OverrideTester", () => {
         match("foo.js", ["*.js"], []);
         match("foo.js", ["**/*.js"], []);
         match("bar.js", ["*.js"], ["foo.js"]);
+        match("foo.js", ["./foo.js"], []);
+        match("foo.js", ["./*"], []);
+        match("foo.js", ["./**"], []);
 
-        noMatch("foo.js", ["./foo.js"], []);
-        noMatch("foo.js", ["./*"], []);
-        noMatch("foo.js", ["./**"], []);
         noMatch("foo.js", ["*"], ["foo.js"]);
         noMatch("foo.js", ["*.js"], ["foo.js"]);
         noMatch("foo.js", ["**/*.js"], ["foo.js"]);
@@ -208,11 +208,11 @@ describe("OverrideTester", () => {
         match("subdir/foo.js", ["subdir/foo.js"], []);
         match("subdir/foo.js", ["subdir/*"], []);
         match("subdir/second/foo.js", ["subdir/**"], []);
+        match("subdir/foo.js", ["./**"], []);
+        match("subdir/foo.js", ["./subdir/**"], []);
+        match("subdir/foo.js", ["./subdir/*"], []);
 
         noMatch("subdir/foo.js", ["./foo.js"], []);
-        noMatch("subdir/foo.js", ["./**"], []);
-        noMatch("subdir/foo.js", ["./subdir/**"], []);
-        noMatch("subdir/foo.js", ["./subdir/*"], []);
         noMatch("subdir/foo.js", ["*"], ["subdir/**"]);
         noMatch("subdir/very/deep/foo.js", ["*.js"], ["subdir/**"]);
         noMatch("subdir/second/foo.js", ["subdir/*"], []);