diff --git a/src/__tests__/useAsync.test.tsx b/src/__tests__/useAsync.test.tsx
index 4e5ca61f68..db780bd966 100644
--- a/src/__tests__/useAsync.test.tsx
+++ b/src/__tests__/useAsync.test.tsx
@@ -107,11 +107,14 @@ describe('useAsync', () => {
         return 'new value';
       };
 
-      beforeEach(() => {
+      beforeEach(done => {
         callCount = 0;
+
         hook = renderHook(({ fn }) => useAsync(fn, [fn]), {
           initialProps: { fn: initialFn },
         });
+
+        hook.waitForNextUpdate().then(done);
       });
 
       it('renders the first value', () => {
@@ -140,7 +143,7 @@ describe('useAsync', () => {
         return `counter is ${counter} and callCount is ${callCount}`;
       };
 
-      beforeEach(() => {
+      beforeEach(done => {
         callCount = 0;
         hook = renderHook(
           ({ fn, counter }) => {
@@ -154,6 +157,8 @@ describe('useAsync', () => {
             },
           }
         );
+
+        hook.waitForNextUpdate().then(done);
       });
 
       it('initial renders the first passed pargs', () => {
diff --git a/src/__tests__/useAsyncFn.test.tsx b/src/__tests__/useAsyncFn.test.tsx
index f9c7d238f6..fdcbe3a625 100644
--- a/src/__tests__/useAsyncFn.test.tsx
+++ b/src/__tests__/useAsyncFn.test.tsx
@@ -5,7 +5,7 @@
 // does not automatically invoke the function
 // and it can take arguments.
 
-import { renderHook } from '@testing-library/react-hooks';
+import { act, renderHook } from '@testing-library/react-hooks';
 import useAsyncFn, { AsyncState } from '../useAsyncFn';
 
 type AdderFn = (a: number, b: number) => Promise<number>;
@@ -17,27 +17,26 @@ describe('useAsyncFn', () => {
 
   describe('the callback can be awaited and return the value', () => {
     let hook;
-    let callCount = 0;
     const adder = async (a: number, b: number): Promise<number> => {
-      callCount++;
       return a + b;
     };
 
     beforeEach(() => {
       // NOTE: renderHook isn't good at inferring array types
       hook = renderHook<{ fn: AdderFn }, [AsyncState<number>, AdderFn]>(({ fn }) => useAsyncFn(fn), {
-        initialProps: {
-          fn: adder,
-        },
+        initialProps: { fn: adder },
       });
     });
 
     it('awaits the result', async () => {
       expect.assertions(3);
 
-      const [s, callback] = hook.result.current;
+      const [, callback] = hook.result.current;
+      let result;
 
-      const result = await callback(5, 7);
+      await act(async () => {
+        result = await callback(5, 7);
+      });
 
       expect(result).toEqual(12);
 
@@ -78,13 +77,15 @@ describe('useAsyncFn', () => {
       it('resolves a value derived from args', async () => {
         expect.assertions(4);
 
-        const [s, callback] = hook.result.current;
+        const [, callback] = hook.result.current;
 
-        callback(2, 7);
+        act(() => {
+          callback(2, 7);
+        });
         hook.rerender({ fn: adder });
         await hook.waitForNextUpdate();
 
-        const [state, c] = hook.result.current;
+        const [state] = hook.result.current;
 
         expect(callCount).toEqual(1);
         expect(state.loading).toEqual(false);