diff --git a/src/main/scala/scala/concurrent/java8/FutureConvertersImpl.scala b/src/main/scala/scala/concurrent/java8/FutureConvertersImpl.scala
index 5c907e7..1ee934e 100644
--- a/src/main/scala/scala/concurrent/java8/FutureConvertersImpl.scala
+++ b/src/main/scala/scala/concurrent/java8/FutureConvertersImpl.scala
@@ -6,7 +6,7 @@ package scala.concurrent.java8
 // Located in this package to access private[concurrent] members
 
 import scala.concurrent.{ Future, Promise, ExecutionContext, ExecutionContextExecutorService, ExecutionContextExecutor, impl }
-import java.util.concurrent.{ CompletionStage, Executor, ExecutorService, CompletableFuture }
+import java.util.concurrent._
 import scala.util.{ Try, Success, Failure }
 import java.util.function.{ BiConsumer, Function ⇒ JF, Consumer, BiFunction }
 
@@ -66,8 +66,21 @@ object FuturesConvertersImpl {
       cf
     }
 
-    override def toCompletableFuture(): CompletableFuture[T] =
-      throw new UnsupportedOperationException("this CompletionStage represents a read-only Scala Future")
+    /**
+     * @inheritdoc
+     *
+     * WARNING: completing the result of this method will not complete the underlying
+     *          Scala Future or Promise (ie, the one that that was passed to `toJava`.)
+     */
+    override def toCompletableFuture(): CompletableFuture[T] = this
+
+    override def obtrudeValue(value: T): Unit = throw new UnsupportedOperationException("obtrudeValue may not be used on the result of toJava(scalaFuture)")
+
+    override def obtrudeException(ex: Throwable): Unit = throw new UnsupportedOperationException("obtrudeException may not be used on the result of toJava(scalaFuture)")
+
+    override def get(): T = scala.concurrent.blocking(super.get())
+
+    override def get(timeout: Long, unit: TimeUnit): T = scala.concurrent.blocking(super.get(timeout, unit))
 
     override def toString: String = super[CompletableFuture].toString
   }
diff --git a/src/test/java/scala/compat/java8/FutureConvertersTest.java b/src/test/java/scala/compat/java8/FutureConvertersTest.java
index a8d4861..7735aba 100644
--- a/src/test/java/scala/compat/java8/FutureConvertersTest.java
+++ b/src/test/java/scala/compat/java8/FutureConvertersTest.java
@@ -7,11 +7,9 @@
 import scala.concurrent.Future;
 import scala.concurrent.Promise;
 
-import java.util.concurrent.CompletableFuture;
-import java.util.concurrent.CompletionStage;
-import java.util.concurrent.CountDownLatch;
-import java.util.concurrent.ExecutionException;
+import java.util.concurrent.*;
 
+import static java.util.concurrent.TimeUnit.MILLISECONDS;
 import static java.util.concurrent.TimeUnit.SECONDS;
 import static org.junit.Assert.*;
 import static scala.compat.java8.FutureConverters.*;
@@ -318,4 +316,86 @@ public void testToJavaExceptionally() throws InterruptedException,
         latch.countDown();
         assertEquals("Hello", second.toCompletableFuture().get());
     }
+
+    @Test
+    public void testToJavaThenComposeWithToJavaThenAccept() throws InterruptedException,
+            ExecutionException, TimeoutException {
+        // Test case from https://github.com/scala/scala-java8-compat/issues/29
+        final Promise<String> p1 = promise();
+        final CompletableFuture<String> future = new CompletableFuture<>();
+
+        CompletableFuture.supplyAsync(() -> "Hello").
+                        thenCompose(x -> toJava(p1.future())).handle((x, t) -> future.complete(x));
+        p1.success("Hello");
+        assertEquals("Hello", future.get(1000, MILLISECONDS));
+    }
+
+    @Test
+    public void testToJavaToCompletableFuture() throws ExecutionException, InterruptedException {
+        final Promise<String> p = promise();
+        final CompletionStage<String> cs = toJava(p.future());
+        CompletableFuture<String> cf = cs.toCompletableFuture();
+        assertEquals("notyet", cf.getNow("notyet"));
+        p.success("done");
+        assertEquals("done", cf.get());
+    }
+
+    @Test
+    public void testToJavaToCompletableFutureDoesNotMutateUnderlyingPromise() throws ExecutionException, InterruptedException {
+        final Promise<String> p = promise();
+        Future<String> sf = p.future();
+        final CompletionStage<String> cs = toJava(sf);
+        CompletableFuture<String> cf = cs.toCompletableFuture();
+        assertEquals("notyet", cf.getNow("notyet"));
+        cf.complete("done");
+        assertEquals("done", cf.get());
+        assertFalse(sf.isCompleted());
+        assertFalse(p.isCompleted());
+    }
+
+    @Test
+    public void testToJavaToCompletableFutureJavaCompleteCalledAfterScalaComplete() throws ExecutionException, InterruptedException {
+        final Promise<String> p = promise();
+        Future<String> sf = p.future();
+        final CompletionStage<String> cs = toJava(sf);
+        CompletableFuture<String> cf = cs.toCompletableFuture();
+        assertEquals("notyet", cf.getNow("notyet"));
+        p.success("scaladone");
+        assertEquals("scaladone", cf.get());
+        cf.complete("javadone");
+        assertEquals("scaladone", cf.get());
+    }
+
+    @Test
+    public void testToJavaToCompletableFutureJavaCompleteCalledBeforeScalaComplete() throws ExecutionException, InterruptedException {
+        final Promise<String> p = promise();
+        Future<String> sf = p.future();
+        final CompletionStage<String> cs = toJava(sf);
+        CompletableFuture<String> cf = cs.toCompletableFuture();
+        assertEquals("notyet", cf.getNow("notyet"));
+        cf.complete("javadone");
+        assertEquals("javadone", cf.get());
+        p.success("scaladone");
+        assertEquals("javadone", cf.get());
+    }
+
+    @Test
+    public void testToJavaToCompletableFutureJavaObtrudeCalledBeforeScalaComplete() throws ExecutionException, InterruptedException {
+        final Promise<String> p = promise();
+        Future<String> sf = p.future();
+        final CompletionStage<String> cs = toJava(sf);
+        CompletableFuture<String> cf = cs.toCompletableFuture();
+        try {
+            cf.obtrudeValue("");
+            fail();
+        } catch (UnsupportedOperationException iae) {
+            // okay
+        }
+        try {
+            cf.obtrudeException(new Exception());
+            fail();
+        } catch (UnsupportedOperationException iae) {
+            // okay
+        }
+    }
 }