diff --git a/libavcodec/vaapi_encode_h264.c b/libavcodec/vaapi_encode_h264.c
index dc7774b9f15773e7899d7724771fab23570afa7e..2e2052bb7132af92e0ee0d52ff4bbfa93a788387 100644
--- a/libavcodec/vaapi_encode_h264.c
+++ b/libavcodec/vaapi_encode_h264.c
@@ -731,6 +731,12 @@ static av_cold int vaapi_encode_h264_init_constant_bitrate(AVCodecContext *avctx
     int hrd_buffer_size;
     int hrd_initial_buffer_fullness;
 
+    if (avctx->bit_rate > INT32_MAX) {
+        av_log(avctx, AV_LOG_ERROR, "Target bitrate of 2^31 bps or "
+               "higher is not supported.\n");
+        return AVERROR(EINVAL);
+    }
+
     if (avctx->rc_buffer_size)
         hrd_buffer_size = avctx->rc_buffer_size;
     else
diff --git a/libavcodec/vaapi_encode_h265.c b/libavcodec/vaapi_encode_h265.c
index 17cd900b30b3291383c1859456c309b8549cdb74..e4d21f0f2fb7af65295eebfcad7e0afc9ff663c5 100644
--- a/libavcodec/vaapi_encode_h265.c
+++ b/libavcodec/vaapi_encode_h265.c
@@ -1158,6 +1158,12 @@ static av_cold int vaapi_encode_h265_init_constant_bitrate(AVCodecContext *avctx
     int hrd_buffer_size;
     int hrd_initial_buffer_fullness;
 
+    if (avctx->bit_rate > INT32_MAX) {
+        av_log(avctx, AV_LOG_ERROR, "Target bitrate of 2^31 bps or "
+               "higher is not supported.\n");
+        return AVERROR(EINVAL);
+    }
+
     if (avctx->rc_buffer_size)
         hrd_buffer_size = avctx->rc_buffer_size;
     else