diff --git a/lib/cmap/connection.js b/lib/cmap/connection.js
index e86b6f342f..fad9298069 100644
--- a/lib/cmap/connection.js
+++ b/lib/cmap/connection.js
@@ -3,6 +3,7 @@
 const EventEmitter = require('events');
 const MessageStream = require('./message_stream');
 const MongoError = require('../core/error').MongoError;
+const MongoNetworkError = require('../core/error').MongoNetworkError;
 const MongoWriteConcernError = require('../core/error').MongoWriteConcernError;
 const wp = require('../core/wireprotocol');
 const apm = require('../core/connection/apm');
@@ -26,6 +27,7 @@ class Connection extends EventEmitter {
     this.socketTimeout = typeof options.socketTimeout === 'number' ? options.socketTimeout : 360000;
     this.monitorCommands =
       typeof options.monitorCommands === 'boolean' ? options.monitorCommands : false;
+    this.closed = false;
 
     this[kGeneration] = options.generation;
     this[kLastUseTime] = Date.now();
@@ -40,7 +42,10 @@ class Connection extends EventEmitter {
     });
 
     stream.on('close', () => {
-      this[kQueue].forEach(op => op.cb(new MongoError('Connection closed')));
+      this.closed = true;
+      this[kQueue].forEach(op =>
+        op.cb(new MongoNetworkError(`connection ${this.id} to ${this.address} closed`))
+      );
       this[kQueue].clear();
 
       this.emit('close');
diff --git a/lib/cmap/connection_pool.js b/lib/cmap/connection_pool.js
index 77475b8a8c..1f363f5d63 100644
--- a/lib/cmap/connection_pool.js
+++ b/lib/cmap/connection_pool.js
@@ -165,13 +165,14 @@ class ConnectionPool extends EventEmitter {
         const connection = pool[kConnections].pop();
         const isStale = connectionIsStale(pool, connection);
         const isIdle = connectionIsIdle(pool, connection);
-        if (!isStale && !isIdle) {
+        if (!isStale && !isIdle && !connection.closed) {
           pool.emit('connectionCheckedOut', new ConnectionCheckedOutEvent(pool, connection));
           callback(null, connection);
           return;
         }
 
-        destroyConnection(pool, connection, isStale ? 'stale' : 'idle');
+        const reason = connection.closed ? 'error' : isStale ? 'stale' : 'idle';
+        destroyConnection(pool, connection, reason);
       }
 
       if (maxPoolSize <= 0 || pool.totalConnectionCount < maxPoolSize) {
@@ -208,9 +209,9 @@ class ConnectionPool extends EventEmitter {
    * @param {Connection} connection The connection to check in
    */
   checkIn(connection) {
-    const closed = this.closed;
+    const poolClosed = this.closed;
     const stale = connectionIsStale(this, connection);
-    const willDestroy = !!(closed || stale);
+    const willDestroy = !!(poolClosed || stale || connection.closed);
 
     // Properly adjust state of connection
     if (!willDestroy) {
@@ -221,7 +222,8 @@ class ConnectionPool extends EventEmitter {
     this.emit('connectionCheckedIn', new ConnectionCheckedInEvent(this, connection));
 
     if (willDestroy) {
-      destroyConnection(this, connection, closed ? 'poolClosed' : 'stale');
+      const reason = connection.closed ? 'error' : poolClosed ? 'poolClosed' : 'stale';
+      destroyConnection(this, connection, reason);
     }
   }
 
diff --git a/test/unit/cmap/connection_pool.test.js b/test/unit/cmap/connection_pool.test.js
index 27ca2a91ef..e824b4204c 100644
--- a/test/unit/cmap/connection_pool.test.js
+++ b/test/unit/cmap/connection_pool.test.js
@@ -44,6 +44,49 @@ describe('Connection Pool', function() {
     mock.createServer().then(s => (server = s));
   });
 
+  it('should destroy connections which have been closed', function(done) {
+    server.setMessageHandler(request => {
+      const doc = request.document;
+      if (doc.ismaster) {
+        request.reply(mock.DEFAULT_ISMASTER_36);
+      } else {
+        // destroy on any other command
+        request.connection.destroy();
+      }
+    });
+
+    const pool = new ConnectionPool(
+      Object.assign({ bson: new BSON(), maxPoolSize: 1 }, server.address())
+    );
+
+    const events = [];
+    pool.on('connectionClosed', event => events.push(event));
+
+    pool.checkOut((err, conn) => {
+      expect(err).to.not.exist;
+
+      conn.command('admin.$cmd', { ping: 1 }, (err, result) => {
+        expect(err).to.exist;
+        expect(result).to.not.exist;
+
+        pool.checkIn(conn);
+
+        expect(events).to.have.length(1);
+        const closeEvent = events[0];
+        expect(closeEvent)
+          .have.property('reason')
+          .equal('error');
+
+        pool.close(done);
+      });
+    });
+
+    pool.withConnection((err, conn, cb) => {
+      expect(err).to.not.exist;
+      cb();
+    });
+  });
+
   describe('withConnection', function() {
     it('should manage a connection for a successful operation', function(done) {
       server.setMessageHandler(request => {