diff --git a/tests/fate/lossless-audio.mak b/tests/fate/lossless-audio.mak
index f35d659264..44d6f094d2 100644
--- a/tests/fate/lossless-audio.mak
+++ b/tests/fate/lossless-audio.mak
@@ -12,3 +12,6 @@ fate-lossless-shorten: CMD = md5 -i $(SAMPLES)/lossless-audio/luckynight-partial
 
 FATE_TESTS += fate-lossless-tta
 fate-lossless-tta: CMD = crc -i $(SAMPLES)/lossless-audio/inside.tta
+
+FATE_TESTS += fate-lossless-wma
+fate-lossless-wma: CMD = md5 -i $(SAMPLES)/lossless-audio/luckynight-partial.wma -f s16le
diff --git a/tests/ref/fate/lossless-wma b/tests/ref/fate/lossless-wma
new file mode 100644
index 0000000000..5bea19b219
--- /dev/null
+++ b/tests/ref/fate/lossless-wma
@@ -0,0 +1 @@
+35dc840f91cbcece02178d03c8f2fe26