diff --git a/src/Microsoft.AspNetCore.Server.Kestrel/Internal/Http/Frame.cs b/src/Microsoft.AspNetCore.Server.Kestrel/Internal/Http/Frame.cs
index 9e45c3f69..d014f3d2b 100644
--- a/src/Microsoft.AspNetCore.Server.Kestrel/Internal/Http/Frame.cs
+++ b/src/Microsoft.AspNetCore.Server.Kestrel/Internal/Http/Frame.cs
@@ -242,11 +242,12 @@ public void InitializeStreams(MessageBody messageBody)
             if (_frameStreams == null)
             {
                 _frameStreams = new Streams(this);
-                RequestBody = _frameStreams.RequestBody;
-                ResponseBody = _frameStreams.ResponseBody;
-                DuplexStream = _frameStreams.DuplexStream;
             }
 
+            RequestBody = _frameStreams.RequestBody;
+            ResponseBody = _frameStreams.ResponseBody;
+            DuplexStream = _frameStreams.DuplexStream;
+
             _frameStreams.RequestBody.StartAcceptingReads(messageBody);
             _frameStreams.ResponseBody.StartAcceptingWrites();
         }
diff --git a/test/Microsoft.AspNetCore.Server.Kestrel.FunctionalTests/RequestTests.cs b/test/Microsoft.AspNetCore.Server.Kestrel.FunctionalTests/RequestTests.cs
index 487306a38..a01b84f7b 100644
--- a/test/Microsoft.AspNetCore.Server.Kestrel.FunctionalTests/RequestTests.cs
+++ b/test/Microsoft.AspNetCore.Server.Kestrel.FunctionalTests/RequestTests.cs
@@ -1,7 +1,9 @@
 // Copyright (c) .NET Foundation. All rights reserved.
 // Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.
 
+using System;
 using System.Globalization;
+using System.IO;
 using System.Net;
 using System.Net.Http;
 using System.Net.Sockets;
@@ -137,6 +139,51 @@ public async Task DoesNotHangOnConnectionCloseRequest()
             }
         }
 
+        [Fact]
+        public async Task StreamsAreNotPersistedAcrossRequests()
+        {
+            var requestBodyPersisted = false;
+            var responseBodyPersisted = false;
+
+            var builder = new WebHostBuilder()
+               .UseKestrel()
+               .UseUrls($"http://127.0.0.1:0")
+               .Configure(app =>
+               {
+                   app.Run(async context =>
+                   {
+                       if (context.Request.Body is MemoryStream)
+                       {
+                           requestBodyPersisted = true;
+                       }
+
+                       if (context.Response.Body is MemoryStream)
+                       {
+                           responseBodyPersisted = true;
+                       }
+
+                       context.Request.Body = new MemoryStream();
+                       context.Response.Body = new MemoryStream();
+
+                       await context.Response.WriteAsync("hello, world");
+                   });
+               });
+
+            using (var host = builder.Build())
+            {
+                host.Start();
+
+                using (var client = new HttpClient { BaseAddress = new Uri($"http://127.0.0.1:{host.GetPort()}") })
+                {
+                    await client.GetAsync("/");
+                    await client.GetAsync("/");
+
+                    Assert.False(requestBodyPersisted);
+                    Assert.False(responseBodyPersisted);
+                }
+            }
+        }
+
         private async Task TestRemoteIPAddress(string registerAddress, string requestAddress, string expectAddress)
         {
             var builder = new WebHostBuilder()
diff --git a/test/Microsoft.AspNetCore.Server.KestrelTests/FrameTests.cs b/test/Microsoft.AspNetCore.Server.KestrelTests/FrameTests.cs
index 52c44bb2b..c7ada3524 100644
--- a/test/Microsoft.AspNetCore.Server.KestrelTests/FrameTests.cs
+++ b/test/Microsoft.AspNetCore.Server.KestrelTests/FrameTests.cs
@@ -2,6 +2,7 @@
 // Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.
 
 using System;
+using System.IO;
 using System.Text;
 using Microsoft.AspNetCore.Http.Features;
 using Microsoft.AspNetCore.Server.Kestrel;
@@ -453,9 +454,10 @@ public void InitializeHeadersResetsRequestHeaders()
             var frame = new Frame<object>(application: null, context: connectionContext);
             frame.InitializeHeaders();
 
-            // Act
             var originalRequestHeaders = frame.RequestHeaders;
             frame.RequestHeaders = new FrameRequestHeaders();
+
+            // Act
             frame.InitializeHeaders();
 
             // Assert
@@ -476,13 +478,47 @@ public void InitializeHeadersResetsResponseHeaders()
             var frame = new Frame<object>(application: null, context: connectionContext);
             frame.InitializeHeaders();
 
-            // Act
             var originalResponseHeaders = frame.ResponseHeaders;
             frame.ResponseHeaders = new FrameResponseHeaders();
+
+            // Act
             frame.InitializeHeaders();
 
             // Assert
             Assert.Same(originalResponseHeaders, frame.ResponseHeaders);
         }
+
+        [Fact]
+        public void InitializeStreamsResetsStreams()
+        {
+            // Arrange
+            var connectionContext = new ConnectionContext()
+            {
+                DateHeaderValueManager = new DateHeaderValueManager(),
+                ServerAddress = ServerAddress.FromUrl("http://localhost:5000"),
+                ServerOptions = new KestrelServerOptions(),
+                SocketOutput = new MockSocketOuptut()
+            };
+            var frame = new Frame<object>(application: null, context: connectionContext);
+            frame.InitializeHeaders();
+
+            var messageBody = MessageBody.For("HTTP/1.1", (FrameRequestHeaders)frame.RequestHeaders, frame);
+            frame.InitializeStreams(messageBody);
+
+            var originalRequestBody = frame.RequestBody;
+            var originalResponseBody = frame.ResponseBody;
+            var originalDuplexStream = frame.DuplexStream;
+            frame.RequestBody = new MemoryStream();
+            frame.ResponseBody = new MemoryStream();
+            frame.DuplexStream = new MemoryStream();
+
+            // Act
+            frame.InitializeStreams(messageBody);
+
+            // Assert
+            Assert.Same(originalRequestBody, frame.RequestBody);
+            Assert.Same(originalResponseBody, frame.ResponseBody);
+            Assert.Same(originalDuplexStream, frame.DuplexStream);
+        }
     }
 }