diff --git a/request-interfaces.go b/request-interfaces.go
index da56ed40..956b7a19 100644
--- a/request-interfaces.go
+++ b/request-interfaces.go
@@ -149,6 +149,11 @@ type ListerAt interface {
 	ListAt([]os.FileInfo, int64) (int, error)
 }
 
+// CloserListerAt is a ListerAt that implements the Close method.
+type CloserListerAt interface {
+	Close() error
+}
+
 // TransferError is an optional interface that readerAt and writerAt
 // can implement to be notified about the error causing Serve() to exit
 // with the request still open
diff --git a/request-server_test.go b/request-server_test.go
index 6825bf43..ca911b89 100644
--- a/request-server_test.go
+++ b/request-server_test.go
@@ -793,6 +793,36 @@ func TestRequestReaddir(t *testing.T) {
 	checkRequestServerAllocator(t, p)
 }
 
+type testListerAtCloser struct {
+	isClosed bool
+}
+
+func (l *testListerAtCloser) ListAt([]os.FileInfo, int64) (int, error) {
+	return 0, io.EOF
+}
+
+func (l *testListerAtCloser) Close() error {
+	l.isClosed = true
+	return nil
+}
+
+func TestRequestServerListerAtCloser(t *testing.T) {
+	p := clientRequestServerPair(t)
+	defer p.Close()
+
+	handle, err := p.cli.opendir(context.Background(), "/")
+	require.NoError(t, err)
+	require.Len(t, p.svr.openRequests, 1)
+	req, ok := p.svr.getRequest(handle)
+	require.True(t, ok)
+	listerAt := &testListerAtCloser{}
+	req.setListerAt(listerAt)
+	assert.NotNil(t, req.state.getListerAt())
+	p.cli.close(handle)
+	require.Len(t, p.svr.openRequests, 0)
+	assert.True(t, listerAt.isClosed)
+}
+
 func TestRequestStatVFS(t *testing.T) {
 	if runtime.GOOS != "linux" && runtime.GOOS != "darwin" {
 		t.Skip("StatVFS is implemented on linux and darwin")
diff --git a/request.go b/request.go
index 57d788df..49d7c5f6 100644
--- a/request.go
+++ b/request.go
@@ -111,6 +111,12 @@ func (s *state) setListerAt(la ListerAt) {
 	s.mu.Lock()
 	defer s.mu.Unlock()
 
+	if s.listerAt != nil {
+		if closer, ok := s.listerAt.(CloserListerAt); ok {
+			closer.Close()
+		}
+	}
+
 	s.listerAt = la
 }
 
@@ -121,6 +127,18 @@ func (s *state) getListerAt() ListerAt {
 	return s.listerAt
 }
 
+func (s *state) closeListerAt() {
+	s.mu.Lock()
+	defer s.mu.Unlock()
+
+	if s.listerAt != nil {
+		if closer, ok := s.listerAt.(CloserListerAt); ok {
+			closer.Close()
+		}
+		s.listerAt = nil
+	}
+}
+
 // Request contains the data and state for the incoming service request.
 type Request struct {
 	// Get, Put, Setstat, Stat, Rename, Remove
@@ -229,6 +247,8 @@ func (r *Request) close() error {
 		}
 	}()
 
+	r.state.closeListerAt()
+
 	rd, wr, rw := r.getAllReaderWriters()
 
 	var err error