diff --git a/picard/util/__init__.py b/picard/util/__init__.py
index 6af22fda20..214f8ffef7 100644
--- a/picard/util/__init__.py
+++ b/picard/util/__init__.py
@@ -1167,10 +1167,11 @@ def strxfrm(string):
 
 
 ENCODING_BOMS = {
+    b'\xff\xfe\x00\x00': 'utf-32-le',
+    b'\x00\x00\xfe\xff': 'utf-32-be',
+    b'\xef\xbb\xbf': 'utf-8-sig',
     b'\xff\xfe': 'utf-16-le',
     b'\xfe\xff': 'utf-16-be',
-    b'\00\00\xff\xfe': 'utf-32-le',
-    b'\00\00\xfe\xff': 'utf-32-be',
 }
 
 
diff --git a/test/data/eac-utf32le.log b/test/data/eac-utf32le.log
new file mode 100644
index 0000000000..12df8b62a6
Binary files /dev/null and b/test/data/eac-utf32le.log differ
diff --git a/test/test_utils.py b/test/test_utils.py
index f3c997b28c..e95d66cf62 100644
--- a/test/test_utils.py
+++ b/test/test_utils.py
@@ -60,6 +60,7 @@
     album_artist_from_path,
     any_exception_isinstance,
     build_qurl,
+    detect as charset_detect,
     detect_file_encoding,
     encoded_queryargs,
     extract_year_from_date,
@@ -949,8 +950,8 @@ def test_detect_file_encoding_bom(self):
         boms = {
             b'\xff\xfe': 'utf-16-le',
             b'\xfe\xff': 'utf-16-be',
-            b'\00\00\xff\xfe': 'utf-32-le',
-            b'\00\00\xfe\xff': 'utf-32-be',
+            b'\xff\xfe\x00\x00': 'utf-32-le',
+            b'\x00\x00\xfe\xff': 'utf-32-be',
             b'\xef\xbb\xbf': 'utf-8-sig',
             b'': 'utf-8',
             b'\00': 'utf-8',
@@ -960,7 +961,9 @@ def test_detect_file_encoding_bom(self):
                 f = NamedTemporaryFile(delete=False)
                 f.write(bom)
                 f.close()
-                self.assertEqual(expected_encoding, detect_file_encoding(f.name))
+                encoding = detect_file_encoding(f.name)
+                self.assertEqual(expected_encoding, encoding,
+                                 f'BOM {bom!r} detected as {encoding}, expected {expected_encoding}')
             finally:
                 f.close()
                 os.remove(f.name)
@@ -970,6 +973,12 @@ def test_detect_file_encoding_eac_utf_16_le(self):
         file_path = get_test_data_path('eac-utf16le.log')
         self.assertEqual(expected_encoding, detect_file_encoding(file_path))
 
+    def test_detect_file_encoding_eac_utf_32_le(self):
+        expected_encoding = 'utf-32-le'
+        file_path = get_test_data_path('eac-utf32le.log')
+        self.assertEqual(expected_encoding, detect_file_encoding(file_path))
+
+    @unittest.skipUnless(charset_detect, "test requires charset-normalizer or chardet package")
     def test_detect_file_encoding_eac_windows_1251(self):
         expected_encoding = 'windows-1251'
         file_path = get_test_data_path('eac-windows1251.log')