diff --git a/src/license-plugin.js b/src/license-plugin.js
index aa35ed1f..86bcac3d 100644
--- a/src/license-plugin.js
+++ b/src/license-plugin.js
@@ -186,7 +186,10 @@ class LicensePlugin {
           pkg = pkgJson;
 
           // Read license file, if it exists.
-          const licenseFile = glob.sync(path.join(dir, 'LICENSE*'))[0];
+          const cwd = this._cwd || process.cwd();
+          const absolutePath = path.join(dir, 'LICENSE*');
+          const relativeToCwd = path.relative(cwd, absolutePath);
+          const licenseFile = this._findGlob(relativeToCwd, cwd)[0];
           if (licenseFile) {
             pkg.licenseText = fs.readFileSync(licenseFile, 'utf-8');
           }
@@ -330,6 +333,21 @@ class LicensePlugin {
     console.warn(`[${this.name}] -- ${msg}`);
   }
 
+  /**
+   * Find given file, matching given pattern.
+   *
+   * @param {string} pattern Pattern to look for.
+   * @param {string} cwd Working directory.
+   * @returns {*} All match.
+   * @private
+   */
+  _findGlob(pattern, cwd) {
+    return glob.sync(pattern, {
+      cwd,
+      nocase: true,
+    });
+  }
+
   /**
    * Read banner from given options and returns it.
    *
diff --git a/test/fixtures/fake-package-8/license.md b/test/fixtures/fake-package-8/license.md
new file mode 100644
index 00000000..65e81201
--- /dev/null
+++ b/test/fixtures/fake-package-8/license.md
@@ -0,0 +1 @@
+license.md file
\ No newline at end of file
diff --git a/test/fixtures/fake-package-8/package.json b/test/fixtures/fake-package-8/package.json
new file mode 100644
index 00000000..9e08f39b
--- /dev/null
+++ b/test/fixtures/fake-package-8/package.json
@@ -0,0 +1,15 @@
+{
+  "name": "fake-package",
+  "version": "1.0.0",
+  "description": "Fake package used in unit tests",
+  "main": "src/index.js",
+  "scripts": {
+    "test": "echo \"Error: no test specified\" && exit 1"
+  },
+  "author": "Mickael Jeanroy <mickael.jeanroy@gmail.com>",
+  "license": "MIT",
+  "private": true,
+  "dependencies": {
+    "lodash": "*"
+  }
+}
diff --git a/test/fixtures/fake-package-8/src/index.js b/test/fixtures/fake-package-8/src/index.js
new file mode 100644
index 00000000..05935b38
--- /dev/null
+++ b/test/fixtures/fake-package-8/src/index.js
@@ -0,0 +1,25 @@
+/**
+ * The MIT License (MIT)
+ *
+ * Copyright (c) 2016-2020 Mickael Jeanroy
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in all
+ * copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+
+console.log('fake-package');
diff --git a/test/license-plugin.spec.js b/test/license-plugin.spec.js
index ab385ec3..7f2844fe 100644
--- a/test/license-plugin.spec.js
+++ b/test/license-plugin.spec.js
@@ -191,6 +191,19 @@ describe('LicensePlugin', () => {
       });
     });
 
+    it('should load pkg including license text from license.md file ignoring case of license file', () => {
+      const id = path.join(__dirname, 'fixtures', 'fake-package-8', 'src', 'index.js');
+      const result = plugin.scanDependency(id);
+
+      expect(result).not.toBeDefined();
+      expect(addDependency).toHaveBeenCalled();
+      expect(plugin._dependencies).toEqual({
+        'fake-package': Object.assign(fakePackage, {
+          licenseText: 'license.md file',
+        }),
+      });
+    });
+
     it('should load pkg including license text from LICENSE.txt file', () => {
       const id = path.join(__dirname, 'fixtures', 'fake-package-3', 'src', 'index.js');
       const result = plugin.scanDependency(id);