diff --git a/Lib/lzma.py b/Lib/lzma.py
index 800f52198fbb79..399cb888c58662 100644
--- a/Lib/lzma.py
+++ b/Lib/lzma.py
@@ -131,6 +131,11 @@ def __init__(self, filename=None, mode="r", *,
                 trailing_error=LZMAError, format=format, filters=filters)
             self._buffer = io.BufferedReader(raw)
 
+        if not isinstance(filename, (str, bytes)):
+            self.name = ''
+        else:
+            self.name = os.fspath(filename)
+
     def close(self):
         """Flush and close the file.
 
diff --git a/Lib/test/test_lzma.py b/Lib/test/test_lzma.py
index 145c8cfced4080..514fdc7eda01f5 100644
--- a/Lib/test/test_lzma.py
+++ b/Lib/test/test_lzma.py
@@ -670,6 +670,34 @@ def test_init_with_preset_and_filters(self):
             LZMAFile(BytesIO(), "w", format=lzma.FORMAT_RAW,
                      preset=6, filters=FILTERS_RAW_1)
 
+    def test_filename(self):
+        with TempFile(TESTFN):
+            with LZMAFile(TESTFN) as f:
+                self.assertTrue(hasattr(f, 'name'))
+                self.assertTrue(f.name == TESTFN)
+
+    def test_path_filename(self):
+        filename = pathlib.Path(TESTFN)
+        with TempFile(filename):
+            with LZMAFile(filename) as f:
+                self.assertTrue(hasattr(f, 'name'))
+                self.assertTrue(f.name == '')
+
+    def test_name_bytesIO(self):
+        f = LZMAFile(BytesIO(COMPRESSED_XZ))
+        try:
+            self.assertTrue(hasattr(f, 'name'))
+            self.assertTrue(f.name == '')
+        finally:
+            f.close()
+
+        f = LZMAFile(BytesIO(), "w")
+        try:
+            self.assertTrue(hasattr(f, 'name'))
+            self.assertTrue(f.name == '')
+        finally:
+            f.close()
+
     def test_close(self):
         with BytesIO(COMPRESSED_XZ) as src:
             f = LZMAFile(src)
diff --git a/Misc/NEWS.d/next/Library/2022-04-04-18-57-26.bpo-47218.rf37SB.rst b/Misc/NEWS.d/next/Library/2022-04-04-18-57-26.bpo-47218.rf37SB.rst
new file mode 100644
index 00000000000000..eecb281851dd4e
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2022-04-04-18-57-26.bpo-47218.rf37SB.rst
@@ -0,0 +1 @@
+Added name attribute for LZMAFile (where appropriate and possible).