diff --git a/changelog/unreleased/issue-2063 b/changelog/unreleased/issue-2063
new file mode 100644
index 000000000..3840da5be
--- /dev/null
+++ b/changelog/unreleased/issue-2063
@@ -0,0 +1,6 @@
+Bugfix: Allow absolute path for filename when backing up from stdin
+
+When backing up from stdin, handle directory path for `--stdin-filename`.
+This can be used to specify the full path for the backed-up file.
+
+https://github.com/restic/restic/issues/2063
diff --git a/cmd/restic/cmd_backup.go b/cmd/restic/cmd_backup.go
index a37d3f168..83a4038ad 100644
--- a/cmd/restic/cmd_backup.go
+++ b/cmd/restic/cmd_backup.go
@@ -8,6 +8,7 @@ import (
 	"io"
 	"io/ioutil"
 	"os"
+	"path"
 	"path/filepath"
 	"strconv"
 	"strings"
@@ -523,13 +524,14 @@ func runBackup(opts BackupOptions, gopts GlobalOptions, term *termstatus.Termina
 		if !gopts.JSON {
 			p.V("read data from stdin")
 		}
+		filename := path.Join("/", opts.StdinFilename)
 		targetFS = &fs.Reader{
 			ModTime:    timeStamp,
-			Name:       opts.StdinFilename,
+			Name:       filename,
 			Mode:       0644,
 			ReadCloser: os.Stdin,
 		}
-		targets = []string{opts.StdinFilename}
+		targets = []string{filename}
 	}
 
 	sc := archiver.NewScanner(targetFS)
diff --git a/internal/fs/fs_reader.go b/internal/fs/fs_reader.go
index 27fc46eb6..91fedb263 100644
--- a/internal/fs/fs_reader.go
+++ b/internal/fs/fs_reader.go
@@ -103,17 +103,32 @@ func (fs *Reader) Stat(name string) (os.FileInfo, error) {
 // describes the symbolic link.  Lstat makes no attempt to follow the link.
 // If there is an error, it will be of type *PathError.
 func (fs *Reader) Lstat(name string) (os.FileInfo, error) {
+	getDirInfo := func(name string) os.FileInfo {
+		fi := fakeFileInfo{
+			name:    fs.Base(name),
+			size:    0,
+			mode:    os.ModeDir | 0755,
+			modtime: time.Now(),
+		}
+		return fi
+	}
+
 	switch name {
 	case fs.Name:
 		return fs.fi(), nil
 	case "/", ".":
-		fi := fakeFileInfo{
-			name:    name,
-			size:    0,
-			mode:    0755,
-			modtime: time.Now(),
+		return getDirInfo(name), nil
+	}
+
+	dir := fs.Dir(fs.Name)
+	for {
+		if dir == "/" || dir == "." {
+			break
 		}
-		return fi, nil
+		if name == dir {
+			return getDirInfo(name), nil
+		}
+		dir = fs.Dir(dir)
 	}
 
 	return nil, os.ErrNotExist
diff --git a/internal/fs/fs_reader_test.go b/internal/fs/fs_reader_test.go
index 93e8b35ef..bb45732f3 100644
--- a/internal/fs/fs_reader_test.go
+++ b/internal/fs/fs_reader_test.go
@@ -4,6 +4,7 @@ import (
 	"bytes"
 	"io/ioutil"
 	"os"
+	"path"
 	"sort"
 	"strings"
 	"testing"
@@ -151,8 +152,8 @@ func verifyDirectoryContentsFI(t testing.TB, fs FS, dir string, want []os.FileIn
 }
 
 func checkFileInfo(t testing.TB, fi os.FileInfo, filename string, modtime time.Time, mode os.FileMode, isdir bool) {
-	if fi.IsDir() {
-		t.Errorf("IsDir returned true, want false")
+	if fi.IsDir() != isdir {
+		t.Errorf("IsDir returned %t, want %t", fi.IsDir(), isdir)
 	}
 
 	if fi.Mode() != mode {
@@ -163,8 +164,12 @@ func checkFileInfo(t testing.TB, fi os.FileInfo, filename string, modtime time.T
 		t.Errorf("ModTime() returned wrong value, want %v, got %v", modtime, fi.ModTime())
 	}
 
-	if fi.Name() != filename {
-		t.Errorf("Name() returned wrong value, want %q, got %q", filename, fi.Name())
+	if path.Base(fi.Name()) != fi.Name() {
+		t.Errorf("Name() returned is not base, want %q, got %q", path.Base(fi.Name()), fi.Name())
+	}
+
+	if fi.Name() != path.Base(filename) {
+		t.Errorf("Name() returned wrong value, want %q, got %q", path.Base(filename), fi.Name())
 	}
 }
 
@@ -265,7 +270,7 @@ func TestFSReader(t *testing.T) {
 					t.Fatal(err)
 				}
 
-				checkFileInfo(t, fi, "/", time.Time{}, 0755, false)
+				checkFileInfo(t, fi, "/", time.Time{}, os.ModeDir|0755, true)
 			},
 		},
 		{
@@ -276,7 +281,16 @@ func TestFSReader(t *testing.T) {
 					t.Fatal(err)
 				}
 
-				checkFileInfo(t, fi, ".", time.Time{}, 0755, false)
+				checkFileInfo(t, fi, ".", time.Time{}, os.ModeDir|0755, true)
+			},
+		},
+		{
+			name: "dir/Lstat-error-not-exist",
+			f: func(t *testing.T, fs FS) {
+				_, err := fs.Lstat("other")
+				if err != os.ErrNotExist {
+					t.Fatal(err)
+				}
 			},
 		},
 		{
@@ -287,7 +301,7 @@ func TestFSReader(t *testing.T) {
 					t.Fatal(err)
 				}
 
-				checkFileInfo(t, fi, "/", time.Time{}, 0755, false)
+				checkFileInfo(t, fi, "/", time.Time{}, os.ModeDir|0755, true)
 			},
 		},
 		{
@@ -298,7 +312,7 @@ func TestFSReader(t *testing.T) {
 					t.Fatal(err)
 				}
 
-				checkFileInfo(t, fi, ".", time.Time{}, 0755, false)
+				checkFileInfo(t, fi, ".", time.Time{}, os.ModeDir|0755, true)
 			},
 		},
 	}
@@ -319,6 +333,54 @@ func TestFSReader(t *testing.T) {
 	}
 }
 
+func TestFSReaderDir(t *testing.T) {
+	data := test.Random(55, 1<<18+588)
+	now := time.Now()
+
+	var tests = []struct {
+		name     string
+		filename string
+	}{
+		{
+			name:     "Lstat-absolute",
+			filename: "/path/to/foobar",
+		},
+		{
+			name:     "Lstat-relative",
+			filename: "path/to/foobar",
+		},
+	}
+
+	for _, test := range tests {
+		t.Run(test.name, func(t *testing.T) {
+			fs := &Reader{
+				Name:       test.filename,
+				ReadCloser: ioutil.NopCloser(bytes.NewReader(data)),
+
+				Mode:    0644,
+				Size:    int64(len(data)),
+				ModTime: now,
+			}
+
+			dir := path.Dir(fs.Name)
+			for {
+				if dir == "/" || dir == "." {
+					break
+				}
+
+				fi, err := fs.Lstat(dir)
+				if err != nil {
+					t.Fatal(err)
+				}
+
+				checkFileInfo(t, fi, dir, time.Time{}, os.ModeDir|0755, true)
+
+				dir = path.Dir(dir)
+			}
+		})
+	}
+}
+
 func TestFSReaderMinFileSize(t *testing.T) {
 	var tests = []struct {
 		name        string