diff --git a/packages/meteor/async_helpers.js b/packages/meteor/async_helpers.js
index 3e1e5023ac..c07a9c22de 100644
--- a/packages/meteor/async_helpers.js
+++ b/packages/meteor/async_helpers.js
@@ -33,22 +33,25 @@ class AsynchronousQueue {
     this._draining = false;
   }
 
-  async queueTask(task) {
-    this._taskHandles.push({
+  queueTask(task) {
+    const self = this;
+    self._taskHandles.push({
       task: task,
       name: task.name
     });
-    await this._scheduleRun();
+    self._scheduleRun();
   }
 
-  async _scheduleRun() {
+  _scheduleRun() {
     // Already running or scheduled? Do nothing.
     if (this._runningOrRunScheduled)
       return;
 
     this._runningOrRunScheduled = true;
 
-    await this._run();
+    setImmediate(() => {
+      this._run();
+    });
   }
 
   async _run() {
@@ -62,29 +65,56 @@ class AsynchronousQueue {
       return;
     }
     const taskHandle = this._taskHandles.shift();
-
+    let exception;
     // Run the task.
     try {
       await taskHandle.task();
     } catch (err) {
+      if (taskHandle.resolver) {
+        // We'll throw this exception through runTask.
+        exception = err;
+      } else {
         Meteor._debug("Exception in queued task", err);
+      }
     }
 
     // Soon, run the next task, if there is any.
     this._runningOrRunScheduled = false;
-    await this._scheduleRun();
+    this._scheduleRun();
+
+    if (taskHandle.resolver) {
+      if (exception) {
+        taskHandle.resolver(null, exception);
+      } else {
+        taskHandle.resolver();
+      }
+    }
   }
 
   async runTask(task) {
+    let resolver;
+    const promise = new Promise(
+      (resolve, reject) =>
+        (resolver = (res, rej) => {
+          if (rej) {
+            reject(rej);
+            return;
+          }
+          resolve(res);
+        })
+    );
+
     const handle = {
       task: Meteor.bindEnvironment(task, function(e) {
         Meteor._debug('Exception from task', e);
         throw e;
       }),
-      name: task.name
+      name: task.name,
+      resolver,
     };
     this._taskHandles.push(handle);
     await this._scheduleRun();
+    return promise;
   }
 
   flush() {
diff --git a/packages/meteor/dynamics_test.js b/packages/meteor/dynamics_test.js
index 3fd795a30d..dacbb04294 100644
--- a/packages/meteor/dynamics_test.js
+++ b/packages/meteor/dynamics_test.js
@@ -16,10 +16,10 @@ Tinytest.add("environment - dynamic variables", function (test) {
   test.equal(CurrentFoo.get(), undefined);
 });
 
-Tinytest.add("environment - bindEnvironment", function (test) {
+Tinytest.addAsync("environment - bindEnvironment", async function (test) {
   var raised_f;
 
-  var f = CurrentFoo.withValue(17, function () {
+  var f = await CurrentFoo.withValue(17, function () {
     return Meteor.bindEnvironment(function (flag) {
       test.equal(CurrentFoo.get(), 17);
       if (flag)
@@ -31,24 +31,24 @@ Tinytest.add("environment - bindEnvironment", function (test) {
     });
   });
 
-  var test_f = function () {
+  var test_f = async function () {
     raised_f = null;
 
-    test.equal(f(false), 12);
+    test.equal(await f(false), 12);
     test.equal(raised_f, null);
 
-    test.equal(f(true), undefined);
+    test.equal(await f(true), undefined);
     test.equal(raised_f, "test");
   };
 
   // At top level
 
   test.equal(CurrentFoo.get(), undefined);
-  test_f();
+  await test_f();
 
   // Inside a withValue
 
-  CurrentFoo.withValue(22, function () {
+  await CurrentFoo.withValue(22, function () {
     test.equal(CurrentFoo.get(), 22);
     test_f();
     test.equal(CurrentFoo.get(), 22);
@@ -61,7 +61,7 @@ Tinytest.add("environment - bindEnvironment", function (test) {
 
   var raised_g;
 
-  var g = CurrentFoo.withValue(99, function () {
+  var g = await CurrentFoo.withValue(99, function () {
     return Meteor.bindEnvironment(function (flag) {
       test.equal(CurrentFoo.get(), 99);
 
@@ -76,19 +76,19 @@ Tinytest.add("environment - bindEnvironment", function (test) {
     });
   });
 
-  var test_g = function () {
+  var test_g = async function () {
     raised_g = null;
 
-    test.equal(g(false), 88);
+    test.equal(await g(false), 88);
     test.equal(raised_g, null);
 
-    test.equal(g(true), undefined);
+    test.equal(await g(true), undefined);
     test.equal(raised_g, "trial");
   };
 
-  test_g();
+  await test_g();
 
-  CurrentFoo.withValue(77, function () {
+  await CurrentFoo.withValue(77, function () {
     test.equal(CurrentFoo.get(), 77);
     test_g();
     test.equal(CurrentFoo.get(), 77);
diff --git a/packages/meteor/fiber_helpers_test.js b/packages/meteor/fiber_helpers_test.js
index 84093ee1d7..8b71de19c6 100644
--- a/packages/meteor/fiber_helpers_test.js
+++ b/packages/meteor/fiber_helpers_test.js
@@ -1,7 +1,5 @@
-var Fiber = Npm.require('fibers');
-
-Tinytest.add("fibers - synchronous queue", function (test) {
-  var q = new Meteor._SynchronousQueue;
+Tinytest.addAsync("asl-sync - synchronous queue", async function (test) {
+  var q = new Meteor._SynchronousQueue();
   var output = [];
   var pusher = function (n) {
     return function () {
@@ -20,14 +18,12 @@ Tinytest.add("fibers - synchronous queue", function (test) {
   q.queueTask(pusher(1));
   outputIsUpTo(0);
 
-  // Run another task. After queueing it, the fiber constructed here will yield
-  // back to this outer function. No task can have run yet since the main test
-  // fiber still will not have yielded.
+  // Run another task async to be solved in the future.
   var runTask2Done = false;
-  Fiber(function () {
-    q.runTask(pusher(2));
+  Meteor._runAsync(async function () {
+    await q.runTask(pusher(2));
     runTask2Done = true;
-  }).run();
+  });
   outputIsUpTo(0);
   test.isFalse(runTask2Done);
 
@@ -43,12 +39,12 @@ Tinytest.add("fibers - synchronous queue", function (test) {
 
   // Run a task and block for it to be done. All queued tasks up to this one
   // will now be run.
-  q.runTask(pusher(4));
+  await q.runTask(pusher(4));
   outputIsUpTo(4);
   test.isTrue(runTask2Done);
 
   // Task #5 is still in the queue. Run another task synchronously.
-  q.runTask(pusher(6));
+  await q.runTask(pusher(6));
   outputIsUpTo(6);
 
   // Queue a task that throws. It'll write some debug output, but that's it.
@@ -57,13 +53,13 @@ Tinytest.add("fibers - synchronous queue", function (test) {
     throw new Error("bla");
   });
   // let it run.
-  q.runTask(pusher(7));
+  await q.runTask(pusher(7));
   outputIsUpTo(7);
 
   // Run a task that throws. It should throw from runTask.
   Meteor._suppress_log(1);
-  test.throws(function () {
-    q.runTask(function () {
+  await test.throwsAsync(async function () {
+    await q.runTask(function () {
       throw new Error("this is thrown");
     });
   });
diff --git a/packages/meteor/package.js b/packages/meteor/package.js
index a05aed1339..eeb5e979b2 100644
--- a/packages/meteor/package.js
+++ b/packages/meteor/package.js
@@ -74,7 +74,6 @@ Package.onTest(function (api) {
   api.addFiles('dynamics_test.js', ['client', 'server']);
 
   api.addFiles('fiber_helpers_test.js', ['server']);
-  api.addFiles('wrapasync_test.js', ['server']);
 
   api.addFiles('url_tests.js', ['client', 'server']);
 
diff --git a/packages/meteor/wrapasync_test.js b/packages/meteor/wrapasync_test.js
deleted file mode 100644
index aa8469e946..0000000000
--- a/packages/meteor/wrapasync_test.js
+++ /dev/null
@@ -1,89 +0,0 @@
-var asyncFunction1 = function (x, cb) {
-  setTimeout(function () { cb(null, x); }, 5);
-};
-var asyncFunction2 = function (x, opt, cb) {
-  if (! cb && opt instanceof Function) {
-    cb = opt;
-    opt = null;
-  }
-  asyncFunction1(x, cb);
-};
-var asyncFunction3 = function (opt, cb) {
-  if (! cb && opt instanceof Function) {
-    cb = opt;
-    opt = null;
-  }
-  asyncFunction1(3, cb);
-};
-var asyncFunction4 = function (cb) {
-  asyncFunction1(3, cb);
-};
-
-var asyncFunction5 = function (cb) {
-  var self = this;
-  setTimeout(function() {
-    cb(null, self);
-  }, 5);
-}
-asyncFunction5.context = {};
-
-var wrapped1 = Meteor.wrapAsync(asyncFunction1);
-var wrapped2 = Meteor.wrapAsync(asyncFunction2);
-var wrapped3 = Meteor.wrapAsync(asyncFunction3);
-var wrapped4 = Meteor.wrapAsync(asyncFunction4);
-var wrapped5 = Meteor.wrapAsync(
-  asyncFunction5,
-  asyncFunction5.context
-);
-
-Tinytest.add("environment - wrapAsync sync", function (test) {
-  // one required arg and callback
-  test.equal(wrapped1(3), 3);
-  test.equal(wrapped1(3, undefined), 3);
-  // one required arg, optional second arg, callback
-  test.equal(wrapped2(3), 3);
-  test.equal(wrapped2(3, {foo: "bar"}), 3);
-  test.equal(wrapped2(3, undefined, undefined), 3);
-  test.equal(wrapped2(3, {foo: "bar"}, undefined), 3);
-  // optional first arg, callback
-  test.equal(wrapped3(3), 3);
-  test.equal(wrapped3(3, undefined), 3);
-  test.equal(wrapped3(), 3);
-  test.equal(wrapped3(undefined), 3);
-  // only callback
-  test.equal(wrapped4(), 3);
-  test.equal(wrapped4(undefined), 3);
-  test.equal(wrapped5(), asyncFunction5.context);
-});
-
-testAsyncMulti("environment - wrapAsync async", [
-  function (test, expect) {
-    var cb = function (result) {
-      return expect(null, result);
-    };
-    // one required arg and callback
-    test.equal(wrapped1(3, cb(3)), undefined);
-    // one required arg, optional second arg, callback
-    test.equal(wrapped2(3, cb(3)), undefined);
-    test.equal(wrapped2(3, {foo: "bar"}, cb(3)), undefined);
-    test.equal(wrapped2(3, undefined, cb(3)), undefined);
-    // optional first arg, callback
-    test.equal(wrapped3(3, cb(3)), undefined);
-    test.equal(wrapped3(cb(3)), undefined);
-    test.equal(wrapped3(undefined, cb(3)), undefined);
-    // only callback
-    test.equal(wrapped4(cb(3)), undefined);
-  }
-]);
-
-Tinytest.addAsync("environment - wrapAsync callback is " +
-                  "in fiber", function (test, onComplete) {
-                    var cb = function (err, result) {
-                      if (Meteor.isServer) {
-                        var Fiber = Npm.require('fibers');
-                        test.isTrue(Fiber.current);
-                      }
-                      onComplete();
-                    };
-                    wrapped1(3, cb);
-                  });