diff --git a/libavcodec/aacenc_tns.c b/libavcodec/aacenc_tns.c
index 84f5d09693..9ac9ed912e 100644
--- a/libavcodec/aacenc_tns.c
+++ b/libavcodec/aacenc_tns.c
@@ -35,7 +35,7 @@
 #define TNS_Q_BITS 4
 
 /* Coefficient resolution in short windows */
-#define TNS_Q_BITS_IS8 3
+#define TNS_Q_BITS_IS8 4
 
 /* We really need the bits we save here elsewhere */
 #define TNS_ENABLE_COEF_COMPRESSION
diff --git a/tests/fate/aac.mak b/tests/fate/aac.mak
index d658751726..816fbf066f 100644
--- a/tests/fate/aac.mak
+++ b/tests/fate/aac.mak
@@ -182,7 +182,7 @@ fate-aac-tns-encode: CMD = enc_dec_pcm adts wav s16le $(TARGET_SAMPLES)/audio-re
 fate-aac-tns-encode: CMP = stddev
 fate-aac-tns-encode: REF = $(SAMPLES)/audio-reference/luckynight_2ch_44kHz_s16.wav
 fate-aac-tns-encode: CMP_SHIFT = -4096
-fate-aac-tns-encode: CMP_TARGET = 818
+fate-aac-tns-encode: CMP_TARGET = 817
 fate-aac-tns-encode: FUZZ = 6
 fate-aac-tns-encode: SIZE_TOLERANCE = 3560