diff --git a/libavcodec/mjpegenc.c b/libavcodec/mjpegenc.c
index 56ccbc5fb1..466f48eba9 100644
--- a/libavcodec/mjpegenc.c
+++ b/libavcodec/mjpegenc.c
@@ -415,7 +415,7 @@ AVCodec ff_mjpeg_encoder = {
     .encode2        = ff_mpv_encode_picture,
     .close          = ff_mpv_encode_end,
     .capabilities   = AV_CODEC_CAP_SLICE_THREADS | AV_CODEC_CAP_FRAME_THREADS,
-    .caps_internal  = FF_CODEC_CAP_INIT_CLEANUP,
+    .caps_internal  = FF_CODEC_CAP_INIT_THREADSAFE | FF_CODEC_CAP_INIT_CLEANUP,
     .pix_fmts       = (const enum AVPixelFormat[]) {
         AV_PIX_FMT_YUVJ420P, AV_PIX_FMT_YUVJ422P, AV_PIX_FMT_YUVJ444P, AV_PIX_FMT_NONE
     },
@@ -441,7 +441,7 @@ AVCodec ff_amv_encoder = {
     .init           = ff_mpv_encode_init,
     .encode2        = amv_encode_picture,
     .close          = ff_mpv_encode_end,
-    .caps_internal  = FF_CODEC_CAP_INIT_CLEANUP,
+    .caps_internal  = FF_CODEC_CAP_INIT_THREADSAFE | FF_CODEC_CAP_INIT_CLEANUP,
     .pix_fmts       = (const enum AVPixelFormat[]) {
         AV_PIX_FMT_YUVJ420P, AV_PIX_FMT_NONE
     },
diff --git a/libavcodec/mpeg12enc.c b/libavcodec/mpeg12enc.c
index daf3ac981d..a05c2db6cb 100644
--- a/libavcodec/mpeg12enc.c
+++ b/libavcodec/mpeg12enc.c
@@ -1199,7 +1199,7 @@ AVCodec ff_mpeg1video_encoder = {
     .pix_fmts             = (const enum AVPixelFormat[]) { AV_PIX_FMT_YUV420P,
                                                            AV_PIX_FMT_NONE },
     .capabilities         = AV_CODEC_CAP_DELAY | AV_CODEC_CAP_SLICE_THREADS,
-    .caps_internal        = FF_CODEC_CAP_INIT_CLEANUP,
+    .caps_internal        = FF_CODEC_CAP_INIT_THREADSAFE | FF_CODEC_CAP_INIT_CLEANUP,
     .priv_class           = &mpeg1_class,
 };
 
@@ -1217,7 +1217,7 @@ AVCodec ff_mpeg2video_encoder = {
                                                            AV_PIX_FMT_YUV422P,
                                                            AV_PIX_FMT_NONE },
     .capabilities         = AV_CODEC_CAP_DELAY | AV_CODEC_CAP_SLICE_THREADS,
-    .caps_internal        = FF_CODEC_CAP_INIT_CLEANUP,
+    .caps_internal        = FF_CODEC_CAP_INIT_THREADSAFE | FF_CODEC_CAP_INIT_CLEANUP,
     .priv_class           = &mpeg2_class,
 };
 #endif /* CONFIG_MPEG1VIDEO_ENCODER || CONFIG_MPEG2VIDEO_ENCODER */
diff --git a/libavcodec/mpegvideo_enc.c b/libavcodec/mpegvideo_enc.c
index 7db042e5fe..d3b30c73dc 100644
--- a/libavcodec/mpegvideo_enc.c
+++ b/libavcodec/mpegvideo_enc.c
@@ -39,6 +39,7 @@
 #include "libavutil/mem_internal.h"
 #include "libavutil/pixdesc.h"
 #include "libavutil/opt.h"
+#include "libavutil/thread.h"
 #include "avcodec.h"
 #include "dct.h"
 #include "idctdsp.h"
@@ -249,18 +250,24 @@ static void update_duplicate_context_after_me(MpegEncContext *dst,
 #undef COPY
 }
 
+static void mpv_encode_init_static(void)
+{
+   for (int i = -16; i < 16; i++)
+        default_fcode_tab[i + MAX_MV] = 1;
+}
+
 /**
  * Set the given MpegEncContext to defaults for encoding.
  * the changed fields will not depend upon the prior state of the MpegEncContext.
  */
 static void mpv_encode_defaults(MpegEncContext *s)
 {
-    int i;
+    static AVOnce init_static_once = AV_ONCE_INIT;
+
     ff_mpv_common_defaults(s);
 
-    for (i = -16; i < 16; i++) {
-        default_fcode_tab[i + MAX_MV] = 1;
-    }
+    ff_thread_once(&init_static_once, mpv_encode_init_static);
+
     s->me.mv_penalty = default_mv_penalty;
     s->fcode_tab     = default_fcode_tab;