diff --git a/okhttp/src/main/java/io/grpc/okhttp/OkHttpServerTransport.java b/okhttp/src/main/java/io/grpc/okhttp/OkHttpServerTransport.java
index 8b5d8e6405f..e33254eb8cf 100644
--- a/okhttp/src/main/java/io/grpc/okhttp/OkHttpServerTransport.java
+++ b/okhttp/src/main/java/io/grpc/okhttp/OkHttpServerTransport.java
@@ -50,6 +50,7 @@
 import io.grpc.okhttp.internal.framed.Http2;
 import io.grpc.okhttp.internal.framed.Settings;
 import io.grpc.okhttp.internal.framed.Variant;
+import java.io.EOFException;
 import java.io.IOException;
 import java.net.Socket;
 import java.net.SocketException;
@@ -583,7 +584,18 @@ public void run() {
       String threadName = Thread.currentThread().getName();
       Thread.currentThread().setName("OkHttpServerTransport");
       try {
-        frameReader.readConnectionPreface();
+        try {
+          frameReader.readConnectionPreface();
+        } catch (EOFException | SocketException e) {
+          // The client went away before sending the preface, e.g. a TCP health check from a load
+          // balancer. Closing without reading the server's SETTINGS resets the connection, so this
+          // can be a SocketException as well as an EOF. This is expected, so don't log a warning.
+          log.log(Level.FINE, "Connection closed before receiving the connection preface", e);
+          abruptShutdown(ErrorCode.INTERNAL_ERROR, "Connection closed reading connection preface",
+              Status.UNAVAILABLE.withDescription("Connection closed before connection preface"),
+              false);
+          return;
+        }
         if (!frameReader.nextFrame(this)) {
           connectionError(ErrorCode.INTERNAL_ERROR, "Failed to read initial SETTINGS");
           return;
diff --git a/okhttp/src/test/java/io/grpc/okhttp/OkHttpServerTransportTest.java b/okhttp/src/test/java/io/grpc/okhttp/OkHttpServerTransportTest.java
index ae7c53c7151..4b3e744a6eb 100644
--- a/okhttp/src/test/java/io/grpc/okhttp/OkHttpServerTransportTest.java
+++ b/okhttp/src/test/java/io/grpc/okhttp/OkHttpServerTransportTest.java
@@ -72,6 +72,10 @@
 import java.util.concurrent.Executors;
 import java.util.concurrent.Future;
 import java.util.concurrent.TimeUnit;
+import java.util.logging.Handler;
+import java.util.logging.Level;
+import java.util.logging.LogRecord;
+import java.util.logging.Logger;
 import okio.Buffer;
 import okio.BufferedSink;
 import okio.BufferedSource;
@@ -314,6 +318,50 @@ public void closeDuringHttp2Preface() throws Exception {
     verify(transportListener, never()).transportReady(any(Attributes.class));
   }
 
+  @Test
+  public void closeDuringHttp2Preface_doesNotLogWarning() throws Exception {
+    assertNoWarningLoggedAfter(() -> socketPair.client.shutdownOutput());
+  }
+
+  @Test
+  public void resetDuringHttp2Preface_doesNotLogWarning() throws Exception {
+    // A client that closes without reading the server's SETTINGS resets the connection instead of
+    // closing it cleanly. A linger of 0 makes the reset deterministic.
+    assertNoWarningLoggedAfter(() -> {
+      socketPair.client.setSoLinger(true, 0);
+      socketPair.client.close();
+    });
+  }
+
+  private void assertNoWarningLoggedAfter(ClientDisconnect disconnect) throws Exception {
+    Logger logger = Logger.getLogger(OkHttpServerTransport.class.getName());
+    List<String> warnings = Collections.synchronizedList(new ArrayList<>());
+    Handler handler = new Handler() {
+      @Override
+      public void publish(LogRecord record) {
+        if (record.getLevel().intValue() >= Level.WARNING.intValue()) {
+          warnings.add(record.getMessage() + ": " + record.getThrown());
+        }
+      }
+
+      @Override
+      public void flush() {}
+
+      @Override
+      public void close() {}
+    };
+    logger.addHandler(handler);
+    try {
+      initTransport();
+      disconnect.run();
+
+      verify(transportListener, timeout(TIME_OUT_MS)).transportTerminated();
+      assertThat(warnings).isEmpty();
+    } finally {
+      logger.removeHandler(handler);
+    }
+  }
+
   @Test
   public void noSettingsDuringHttp2HandshakeSettings() throws Exception {
     initTransport();
@@ -1575,6 +1623,10 @@ public static SocketPair create(ExecutorService threadPool) {
     }
   }
 
+  private interface ClientDisconnect {
+    void run() throws IOException;
+  }
+
   private interface DataFrameHandler {
     void data(boolean inFinished, int streamId, Buffer payload);
   }