diff --git a/core/modules.rs b/core/modules.rs
index bc795de5cf..9352301ba8 100644
--- a/core/modules.rs
+++ b/core/modules.rs
@@ -1740,6 +1740,7 @@ mod tests {
   use crate::RuntimeOptions;
   use crate::Snapshot;
   use deno_ops::op;
+  use futures::future::poll_fn;
   use futures::future::FutureExt;
   use parking_lot::Mutex;
   use std::fmt;
@@ -1754,12 +1755,6 @@ mod tests {
     pub use crate::*;
   }
 
-  // TODO(ry) Sadly FuturesUnordered requires the current task to be set. So
-  // even though we are only using poll() in these tests and not Tokio, we must
-  // nevertheless run it in the tokio executor. Ideally run_in_task can be
-  // removed in the future.
-  use crate::runtime::tests::run_in_task;
-
   #[derive(Default)]
   struct MockLoader {
     pub loads: Arc<Mutex<Vec<String>>>,
@@ -1907,7 +1902,7 @@ import "/a.js";
       }
       if inner.url == "file:///slow.js" && inner.counter < 2 {
         // TODO(ry) Hopefully in the future we can remove current task
-        // notification. See comment above run_in_task.
+        // notification.
         cx.waker().wake_by_ref();
         return Poll::Pending;
       }
@@ -2263,8 +2258,8 @@ import "/a.js";
     futures::executor::block_on(receiver).unwrap().unwrap();
   }
 
-  #[test]
-  fn dyn_import_err() {
+  #[tokio::test]
+  async fn dyn_import_err() {
     #[derive(Clone, Default)]
     struct DynImportErrLoader {
       pub count: Arc<AtomicUsize>,
@@ -2302,7 +2297,7 @@ import "/a.js";
     });
 
     // Test an erroneous dynamic import where the specified module isn't found.
-    run_in_task(move |cx| {
+    poll_fn(move |cx| {
       runtime
         .execute_script_static(
           "file:///dyn_import2.js",
@@ -2320,7 +2315,9 @@ import "/a.js";
         unreachable!();
       }
       assert_eq!(count.load(Ordering::Relaxed), 4);
+      Poll::Ready(())
     })
+    .await;
   }
 
   #[derive(Clone, Default)]
@@ -2369,8 +2366,8 @@ import "/a.js";
     }
   }
 
-  #[test]
-  fn dyn_import_ok() {
+  #[tokio::test]
+  async fn dyn_import_ok() {
     let loader = Rc::new(DynImportOkLoader::default());
     let prepare_load_count = loader.prepare_load_count.clone();
     let resolve_count = loader.resolve_count.clone();
@@ -2379,7 +2376,7 @@ import "/a.js";
       module_loader: Some(loader),
       ..Default::default()
     });
-    run_in_task(move |cx| {
+    poll_fn(move |cx| {
       // Dynamically import mod_b
       runtime
         .execute_script_static(
@@ -2413,11 +2410,13 @@ import "/a.js";
       ));
       assert_eq!(resolve_count.load(Ordering::Relaxed), 7);
       assert_eq!(load_count.load(Ordering::Relaxed), 1);
+      Poll::Ready(())
     })
+    .await;
   }
 
-  #[test]
-  fn dyn_import_borrow_mut_error() {
+  #[tokio::test]
+  async fn dyn_import_borrow_mut_error() {
     // https://github.com/denoland/deno/issues/6054
     let loader = Rc::new(DynImportOkLoader::default());
     let prepare_load_count = loader.prepare_load_count.clone();
@@ -2426,7 +2425,7 @@ import "/a.js";
       ..Default::default()
     });
 
-    run_in_task(move |cx| {
+    poll_fn(move |cx| {
       runtime
         .execute_script_static(
           "file:///dyn_import3.js",
@@ -2445,7 +2444,9 @@ import "/a.js";
       assert_eq!(prepare_load_count.load(Ordering::Relaxed), 1);
       // Second poll triggers error
       let _ = runtime.poll_event_loop(cx, false);
+      Poll::Ready(())
     })
+    .await;
   }
 
   // Regression test for https://github.com/denoland/deno/issues/3736.
@@ -2671,8 +2672,8 @@ import "/a.js";
     futures::executor::block_on(fut);
   }
 
-  #[test]
-  fn slow_never_ready_modules() {
+  #[tokio::test]
+  async fn slow_never_ready_modules() {
     let loader = MockLoader::new();
     let loads = loader.loads.clone();
     let mut runtime = JsRuntime::new(RuntimeOptions {
@@ -2680,7 +2681,7 @@ import "/a.js";
       ..Default::default()
     });
 
-    run_in_task(move |cx| {
+    poll_fn(move |cx| {
       let spec = resolve_url("file:///main.js").unwrap();
       let mut recursive_load =
         runtime.load_main_module(&spec, None).boxed_local();
@@ -2694,8 +2695,7 @@ import "/a.js";
       //      "file:///never_ready.js",
       //      "file:///slow.js"
       // But due to current task notification in DelayedSourceCodeFuture they
-      // all get loaded in a single poll. Also see the comment above
-      // run_in_task.
+      // all get loaded in a single poll.
 
       for _ in 0..10 {
         let result = recursive_load.poll_unpin(cx);
@@ -2714,30 +2714,26 @@ import "/a.js";
           ]
         );
       }
+      Poll::Ready(())
     })
+    .await;
   }
 
-  #[test]
-  fn loader_disappears_after_error() {
+  #[tokio::test]
+  async fn loader_disappears_after_error() {
     let loader = MockLoader::new();
     let mut runtime = JsRuntime::new(RuntimeOptions {
       module_loader: Some(loader),
       ..Default::default()
     });
 
-    run_in_task(move |cx| {
-      let spec = resolve_url("file:///bad_import.js").unwrap();
-      let mut load_fut = runtime.load_main_module(&spec, None).boxed_local();
-      let result = load_fut.poll_unpin(cx);
-      if let Poll::Ready(Err(err)) = result {
-        assert_eq!(
-          err.downcast_ref::<MockError>().unwrap(),
-          &MockError::ResolveErr
-        );
-      } else {
-        unreachable!();
-      }
-    })
+    let spec = resolve_url("file:///bad_import.js").unwrap();
+    let result = runtime.load_main_module(&spec, None).await;
+    let err = result.unwrap_err();
+    assert_eq!(
+      err.downcast_ref::<MockError>().unwrap(),
+      &MockError::ResolveErr
+    );
   }
 
   #[test]
diff --git a/core/runtime.rs b/core/runtime.rs
index 1cbefb6fe9..8c78be55b5 100644
--- a/core/runtime.rs
+++ b/core/runtime.rs
@@ -2610,8 +2610,6 @@ pub mod tests {
   use crate::modules::SymbolicModule;
   use crate::ZeroCopyBuf;
   use deno_ops::op;
-  use futures::future::lazy;
-  use std::ops::FnOnce;
   use std::pin::Pin;
   use std::rc::Rc;
   use std::sync::atomic::AtomicUsize;
@@ -2623,13 +2621,6 @@ pub mod tests {
     pub use crate::*;
   }
 
-  pub fn run_in_task<F>(f: F)
-  where
-    F: FnOnce(&mut Context) + 'static,
-  {
-    futures::executor::block_on(lazy(move |cx| f(cx)));
-  }
-
   #[derive(Copy, Clone)]
   pub enum Mode {
     Async,
@@ -2864,7 +2855,7 @@ pub mod tests {
   #[tokio::test]
   async fn test_poll_value() {
     let mut runtime = JsRuntime::new(Default::default());
-    run_in_task(move |cx| {
+    poll_fn(move |cx| {
       let value_global = runtime
         .execute_script_static("a.js", "Promise.resolve(1 + 2)")
         .unwrap();
@@ -2903,7 +2894,8 @@ pub mod tests {
         .unwrap();
       let v = runtime.poll_value(&value_global, cx);
       matches!(v, Poll::Ready(Err(e)) if e.to_string() == "Promise resolution is still pending but the event loop has already resolved.");
-    });
+      Poll::Ready(())
+    }).await;
   }
 
   #[tokio::test]
@@ -3061,10 +3053,10 @@ pub mod tests {
     assert_eq!(frame.column_number, Some(12));
   }
 
-  #[test]
-  fn test_encode_decode() {
+  #[tokio::test]
+  async fn test_encode_decode() {
     let (mut runtime, _dispatch_count) = setup(Mode::Async);
-    run_in_task(move |cx| {
+    poll_fn(move |cx| {
       runtime
         .execute_script(
           "encode_decode_test.js",
@@ -3075,13 +3067,15 @@ pub mod tests {
       if let Poll::Ready(Err(_)) = runtime.poll_event_loop(cx, false) {
         unreachable!();
       }
-    });
+      Poll::Ready(())
+    })
+    .await;
   }
 
-  #[test]
-  fn test_serialize_deserialize() {
+  #[tokio::test]
+  async fn test_serialize_deserialize() {
     let (mut runtime, _dispatch_count) = setup(Mode::Async);
-    run_in_task(move |cx| {
+    poll_fn(move |cx| {
       runtime
         .execute_script(
           "serialize_deserialize_test.js",
@@ -3091,11 +3085,13 @@ pub mod tests {
       if let Poll::Ready(Err(_)) = runtime.poll_event_loop(cx, false) {
         unreachable!();
       }
-    });
+      Poll::Ready(())
+    })
+    .await;
   }
 
-  #[test]
-  fn test_error_builder() {
+  #[tokio::test]
+  async fn test_error_builder() {
     #[op]
     fn op_err() -> Result<(), Error> {
       Err(custom_error("DOMExceptionOperationError", "abc"))
@@ -3111,7 +3107,7 @@ pub mod tests {
       get_error_class_fn: Some(&get_error_class_name),
       ..Default::default()
     });
-    run_in_task(move |cx| {
+    poll_fn(move |cx| {
       runtime
         .execute_script_static(
           "error_builder_test.js",
@@ -3121,7 +3117,9 @@ pub mod tests {
       if let Poll::Ready(Err(_)) = runtime.poll_event_loop(cx, false) {
         unreachable!();
       }
-    });
+      Poll::Ready(())
+    })
+    .await;
   }
 
   #[test]
@@ -3646,10 +3644,10 @@ main();
     assert_eq!(result.unwrap_err().to_string(), expected_error);
   }
 
-  #[test]
-  fn test_error_async_stack() {
+  #[tokio::test]
+  async fn test_error_async_stack() {
     let mut runtime = JsRuntime::new(RuntimeOptions::default());
-    run_in_task(move |cx| {
+    poll_fn(move |cx| {
       runtime
         .execute_script_static(
           "error_async_stack.js",
@@ -3680,11 +3678,13 @@ main();
         }
         _ => panic!(),
       };
+      Poll::Ready(())
     })
+    .await;
   }
 
-  #[test]
-  fn test_error_context() {
+  #[tokio::test]
+  async fn test_error_context() {
     use anyhow::anyhow;
 
     #[op]
@@ -3703,7 +3703,7 @@ main();
       ..Default::default()
     });
 
-    run_in_task(move |cx| {
+    poll_fn(move |cx| {
       runtime
         .execute_script_static(
           "test_error_context_sync.js",
@@ -3746,13 +3746,14 @@ if (errMessage !== "higher-level sync error: original sync error") {
         Poll::Ready(Err(err)) => panic!("{err:?}"),
         _ => panic!(),
       }
-    })
+      Poll::Ready(())
+    }).await;
   }
 
-  #[test]
-  fn test_pump_message_loop() {
+  #[tokio::test]
+  async fn test_pump_message_loop() {
     let mut runtime = JsRuntime::new(RuntimeOptions::default());
-    run_in_task(move |cx| {
+    poll_fn(move |cx| {
       runtime
         .execute_script_static(
           "pump_message_loop.js",
@@ -3797,7 +3798,9 @@ assertEquals(1, notify_return_value);
           r#"assertEquals(globalThis.resolved, true);"#,
         )
         .unwrap();
+      Poll::Ready(())
     })
+    .await;
   }
 
   #[test]
@@ -4695,7 +4698,7 @@ Deno.core.opAsync("op_async_serialize_object_with_numbers_as_keys", {
       ..Default::default()
     });
 
-    run_in_task(move |cx| {
+    poll_fn(move |cx| {
       let main_realm = runtime.global_realm();
       let other_realm = runtime.create_realm().unwrap();
 
@@ -4747,7 +4750,9 @@ Deno.core.opAsync("op_async_serialize_object_with_numbers_as_keys", {
         runtime.poll_event_loop(cx, false),
         Poll::Ready(Ok(()))
       ));
-    });
+      Poll::Ready(())
+    })
+    .await;
   }
 
   #[test]