diff --git a/SabreTools.IO.Test/ReadOnlyCompositeStreamTests.cs b/SabreTools.IO.Test/ReadOnlyCompositeStreamTests.cs
index 34efcd1..29eafd2 100644
--- a/SabreTools.IO.Test/ReadOnlyCompositeStreamTests.cs
+++ b/SabreTools.IO.Test/ReadOnlyCompositeStreamTests.cs
@@ -158,6 +158,24 @@ namespace SabreTools.IO.Test
 
         #endregion
 
+        #region Dispose
+
+        [Fact]
+        public void Dispose_DisposesStreams()
+        {
+            var first = new MemoryStream(new byte[128]);
+            var second = new MemoryStream(new byte[128]);
+            var stream = new ReadOnlyCompositeStream(first);
+            stream.AddStream(second);
+
+            stream.Dispose();
+
+            Assert.False(first.CanRead);
+            Assert.False(second.CanRead);
+        }
+
+        #endregion
+
         #region Unimplemented
 
         [Fact]
diff --git a/SabreTools.IO/ReadOnlyCompositeStream.cs b/SabreTools.IO/ReadOnlyCompositeStream.cs
index 15c0250..36ae064 100644
--- a/SabreTools.IO/ReadOnlyCompositeStream.cs
+++ b/SabreTools.IO/ReadOnlyCompositeStream.cs
@@ -163,6 +163,20 @@ namespace SabreTools.IO
 
         #region Stream Implementations
 
+        /// <inheritdoc/>
+        protected override void Dispose(bool disposing)
+        {
+            if (disposing)
+            {
+                foreach (var stream in _streams)
+                {
+                    stream.Dispose();
+                }
+            }
+
+            base.Dispose(disposing);
+        }
+
         /// <inheritdoc/>
         public override void Flush()
             => throw new NotImplementedException();