diff --git a/asynq/decorators.py b/asynq/decorators.py
index 5396788..5961f0d 100644
--- a/asynq/decorators.py
+++ b/asynq/decorators.py
@@ -271,7 +271,10 @@ def asyncio(self, *args, **kwargs) -> Coroutine[Any, Any, Any]:
             asyncio_fn = convert_asynq_to_async(self.fn)
 
             async def unwrap_coroutine(*args, **kwargs):
-                return await (await asyncio_fn(*args, **kwargs))
+                fut = await asyncio_fn(*args, **kwargs)
+                if isinstance(fut, futures.ConstFuture):
+                    return fut.value()
+                return await fut
 
             self.asyncio_fn = unwrap_coroutine
 
diff --git a/asynq/tests/test_asynq_to_async.py b/asynq/tests/test_asynq_to_async.py
index e472644..8cc29a5 100644
--- a/asynq/tests/test_asynq_to_async.py
+++ b/asynq/tests/test_asynq_to_async.py
@@ -202,6 +202,14 @@ def f1():
     assert asyncio.run(f1.asyncio()) == 100
 
 
+def test_proxy_const():
+    @asynq.async_proxy()
+    def f1():
+        return asynq.ConstFuture(42)
+
+    assert asyncio.run(f1.asyncio()) == 42
+
+
 def test_proxy_and_bind():
     async def async_g(self, x):
         return x + 20 + B.SELF