diff --git a/include/boost/asio/ssl/detail/engine.hpp b/include/boost/asio/ssl/detail/engine.hpp
index 8b24a96..8250e47 100644
--- a/include/boost/asio/ssl/detail/engine.hpp
+++ b/include/boost/asio/ssl/detail/engine.hpp
@@ -19,7 +19,6 @@
 
 #if !defined(BOOST_ASIO_ENABLE_OLD_SSL)
 # include <boost/asio/buffer.hpp>
-# include <boost/asio/detail/static_mutex.hpp>
 # include <boost/asio/ssl/detail/openssl_types.hpp>
 # include <boost/asio/ssl/detail/verify_callback.hpp>
 # include <boost/asio/ssl/stream_base.hpp>
@@ -120,10 +119,6 @@ private:
   BOOST_ASIO_DECL static int verify_callback_function(
       int preverified, X509_STORE_CTX* ctx);
 
-  // The SSL_accept function may not be thread safe. This mutex is used to
-  // protect all calls to the SSL_accept function.
-  BOOST_ASIO_DECL static boost::asio::detail::static_mutex& accept_mutex();
-
   // Perform one operation. Returns >= 0 on success or error, want_read if the
   // operation needs more input, or want_write if it needs to write some output
   // before the operation can complete.
diff --git a/include/boost/asio/ssl/detail/impl/engine.ipp b/include/boost/asio/ssl/detail/impl/engine.ipp
index 5aa9b5a..264c518 100644
--- a/include/boost/asio/ssl/detail/impl/engine.ipp
+++ b/include/boost/asio/ssl/detail/impl/engine.ipp
@@ -45,8 +45,6 @@ engine::engine(SSL_CTX* context)
     boost::asio::detail::throw_error(ec, "engine");
   }
 
-  accept_mutex().init();
-
   ::SSL_set_mode(ssl_, SSL_MODE_ENABLE_PARTIAL_WRITE);
   ::SSL_set_mode(ssl_, SSL_MODE_ACCEPT_MOVING_WRITE_BUFFER);
 #if defined(SSL_MODE_RELEASE_BUFFERS)
@@ -225,12 +223,6 @@ const boost::system::error_code& engine::map_error_code(
   return ec;
 }
 
-boost::asio::detail::static_mutex& engine::accept_mutex()
-{
-  static boost::asio::detail::static_mutex mutex = BOOST_ASIO_STATIC_MUTEX_INIT;
-  return mutex;
-}
-
 engine::want engine::perform(int (engine::* op)(void*, std::size_t),
     void* data, std::size_t length, boost::system::error_code& ec,
     std::size_t* bytes_transferred)
@@ -287,7 +279,6 @@ engine::want engine::perform(int (engine::* op)(void*, std::size_t),
 
 int engine::do_accept(void*, std::size_t)
 {
-  boost::asio::detail::static_mutex::scoped_lock lock(accept_mutex());
   return ::SSL_accept(ssl_);
 }