diff --git a/test/integration/read-write-concern/write_concern.test.ts b/test/integration/read-write-concern/write_concern.test.ts
index 9d479a2271..64e656e4df 100644
--- a/test/integration/read-write-concern/write_concern.test.ts
+++ b/test/integration/read-write-concern/write_concern.test.ts
@@ -13,7 +13,6 @@ import {
   OpMsgRequest
 } from '../../mongodb';
 import * as mock from '../../tools/mongodb-mock/index';
-import { sleep } from '../../tools/utils';
 import { filterForCommands } from '../shared';
 
 describe('Write Concern', function () {
@@ -98,8 +97,7 @@ describe('Write Concern', function () {
         });
 
         afterEach(async function () {
-          await db.dropDatabase();
-          await sleep(1000);
+          await db.dropDatabase({ writeConcern: { w: 'majority' } });
           await client.close();
         });
 
@@ -136,8 +134,6 @@ describe('Write Concern', function () {
           await col.createIndex({ b: -1 });
           await col.createIndex({ a: 1, b: -1 });
 
-          await sleep(1000);
-
           const listIndexesResult = col.listIndexes({ batchSize: 2 });
           const err = await listIndexesResult.toArray().catch(e => e);
           expect(err).to.not.be.instanceOf(Error);
@@ -168,8 +164,6 @@ describe('Write Concern', function () {
               { writeConcern: { w: 'majority' } }
             );
 
-            await sleep(1000);
-
             const err = await changes.next().catch(e => e);
             expect(err).to.not.be.instanceOf(Error);
           }
diff --git a/test/unit/commands.test.ts b/test/unit/commands.test.ts
index 2b2cf5f58b..3f601c678c 100644
--- a/test/unit/commands.test.ts
+++ b/test/unit/commands.test.ts
@@ -111,7 +111,7 @@ describe('class OpCompressedRequest', () => {
 });
 
 describe('OpMsgRequest', () => {
-  describe('fire-and-forget', () => {
+  describe('#constructor', () => {
     context('when writeConcern = 0', () => {
       it('moreToCome is set to true', async () => {
         const request = new OpMsgRequest('db', { a: 1, writeConcern: { w: 0 } }, {});