diff --git a/lib/processImage.js b/lib/processImage.js
index 7fc889d..152cdde 100644
--- a/lib/processImage.js
+++ b/lib/processImage.js
@@ -365,6 +365,20 @@ module.exports = (options) => {
                   detectedContentType = 'image/png';
                 } else if (firstChunk[0] === 0x42 && firstChunk[1] === 0x4d) {
                   detectedContentType = 'image/bmp';
+                } else if (
+                  firstChunk[0] === 0x0 &&
+                  firstChunk[1] === 0x0 &&
+                  firstChunk[2] === 0x1 &&
+                  firstChunk[3] === 0x0
+                ) {
+                  detectedContentType = 'image/x-icon';
+                } else if (
+                  firstChunk[8] === 0x57 &&
+                  firstChunk[9] === 0x45 &&
+                  firstChunk[10] === 0x42 &&
+                  firstChunk[11] === 0x50
+                ) {
+                  detectedContentType = 'image/webp';
                 }
                 if (
                   detectedContentType &&
diff --git a/reallyaico.gif b/reallyaico.gif
new file mode 100644
index 0000000..a087fa0
Binary files /dev/null and b/reallyaico.gif differ
diff --git a/reallyawebp.png b/reallyawebp.png
new file mode 100644
index 0000000..a608fc8
Binary files /dev/null and b/reallyawebp.png differ
diff --git a/test/processImage.js b/test/processImage.js
index 1c1a289..45bb329 100644
--- a/test/processImage.js
+++ b/test/processImage.js
@@ -1386,6 +1386,27 @@ describe('express-processimage', () => {
     beforeEach(() => {
       config.secondGuessSourceContentType = true;
     });
+    it('should recover gracefully when attempting to process a wrongly named webp', () => {
+      config.debug = true;
+      return expect('GET /reallyawebp.png?resize=40,30', 'to yield response', {
+        headers: {
+          'X-Express-Processimage': 'sharp',
+        },
+        body: expect.it('to have metadata satisfying', {
+          format: 'WEBP',
+          size: { width: 40, height: 30 },
+        }),
+      });
+    });
+    it('should return the correct contentType of a wrongly named ico', () => {
+      config.debug = true;
+      return expect('GET /reallyaico.gif?metadata', 'to yield response', {
+        body: {
+          format: expect.it('to equal', 'ico'),
+          contentType: expect.it('to equal', 'image/x-icon'),
+        },
+      });
+    });
     it('should recover gracefully when attempting to process a wrongly named jpeg', () => {
       config.debug = true;
       return expect('GET /reallyajpeg.gif?resize=40,35', 'to yield response', {
diff --git a/testdata/reallyaico.gif b/testdata/reallyaico.gif
new file mode 100644
index 0000000..a087fa0
Binary files /dev/null and b/testdata/reallyaico.gif differ
diff --git a/testdata/reallyawebp.png b/testdata/reallyawebp.png
new file mode 100644
index 0000000..a608fc8
Binary files /dev/null and b/testdata/reallyawebp.png differ