diff --git a/CompressImagesFunction/CompressImages.cs b/CompressImagesFunction/CompressImages.cs
index 5e28459ac..a9e266ad8 100644
--- a/CompressImagesFunction/CompressImages.cs
+++ b/CompressImagesFunction/CompressImages.cs
@@ -20,6 +20,7 @@ public static class CompressImages
         {
             new ImageMagickCompress(),
             new SvgoCompress(),
+            new MozJpegCompress(),
         };
 
         public static bool Run(CompressimagesParameters parameters, ILogger logger)
@@ -177,6 +178,7 @@ private static CompressionResult[] OptimizeImages(Repository repo, string localP
                                     if (aggressiveCompression)
                                     {
                                         optimizer.LossyCompress(image);
+                                        optimizer.LosslessCompress(image);
                                     }
                                     else
                                     {
diff --git a/CompressImagesFunction/Compressors/MozJpegCompress.cs b/CompressImagesFunction/Compressors/MozJpegCompress.cs
new file mode 100644
index 000000000..a556a941c
--- /dev/null
+++ b/CompressImagesFunction/Compressors/MozJpegCompress.cs
@@ -0,0 +1,46 @@
+using System.Diagnostics;
+using System.IO;
+
+namespace CompressImagesFunction.Compressors
+{
+    public class MozJpegCompress : ICompress
+    {
+        private static readonly string LosslessPlugin = "mozjpegtran";
+        private static readonly string LossyPlugin = "mozcjpeg";
+
+        public string[] SupportedExtensions =>
+            new[] { ".jpg", ".jpeg" };
+
+        public void LosslessCompress(string path)
+        {
+            var arguments = $"-outfile {path}";
+            Compress(LosslessPlugin, arguments);
+        }
+
+        public void LossyCompress(string path)
+        {
+            var tempPath = path + ".tmp";
+            var arguments = $"-quality 80 -outfile {tempPath} {path}";
+
+            Compress(LossyPlugin, arguments);
+
+            File.Delete(path);
+            File.Move(tempPath, path);
+        }
+
+        private void Compress(string compressionType, string arguments)
+        {
+            var processStartInfo = new ProcessStartInfo
+            {
+                UseShellExecute = false,
+                CreateNoWindow = true,
+                FileName = compressionType,
+                Arguments = arguments,
+            };
+            using (var process = Process.Start(processStartInfo))
+            {
+                process.WaitForExit(10000);
+            }
+        }
+    }
+}
diff --git a/Dockerfile.CompressImages b/Dockerfile.CompressImages
index 2134179b3..911ef7506 100644
--- a/Dockerfile.CompressImages
+++ b/Dockerfile.CompressImages
@@ -11,11 +11,21 @@ RUN cd /src/CompressImagesFunction && cp bin/Release/netstandard2.0/bin/runtimes
 FROM mcr.microsoft.com/azure-functions/dotnet:2.0
 
 RUN apt-get update && apt-get install -y --no-install-recommends --no-install-suggests \
-  curl libcurl3
+  curl libcurl3 autoconf automake libtool nasm make wget pkg-config 
 
 RUN curl -sL https://deb.nodesource.com/setup_10.x | bash -
 RUN apt-get install -y nodejs
 RUN npm install -g svgo@^1.3.0
 
+# Add support for mozjpeg
+RUN cd /tmp && wget https://github.com/mozilla/mozjpeg/archive/v3.3.1.tar.gz
+RUN cd /tmp && tar -xzf v3.3.1.tar.gz
+RUN cd /tmp/mozjpeg-3.3.1 && autoreconf -fiv
+RUN mkdir /tmp/mozjpeg-3.3.1/build
+RUN cd /tmp/mozjpeg-3.3.1/build && sh ../configure && make install
+
+RUN ln -s /opt/mozjpeg/bin/jpegtran /usr/local/bin/mozjpegtran
+RUN ln -s /opt/mozjpeg/bin/cjpeg /usr/local/bin/mozcjpeg
+
 ENV AzureWebJobsScriptRoot=/home/site/wwwroot
 COPY --from=dotnet ["/home/site/wwwroot", "/home/site/wwwroot"]