diff --git a/libavcodec/wma.c b/libavcodec/wma.c
index ecc7e41a51..51fda3f22f 100644
--- a/libavcodec/wma.c
+++ b/libavcodec/wma.c
@@ -86,7 +86,6 @@ av_cold int ff_wma_init(AVCodecContext *avctx, int flags2)
         return -1;
 
     ff_fmt_convert_init(&s->fmt_conv, avctx);
-    avpriv_float_dsp_init(&s->fdsp, avctx->flags & CODEC_FLAG_BITEXACT);
 
     if (avctx->codec->id == AV_CODEC_ID_WMAV1)
         s->version = 1;
@@ -333,6 +332,10 @@ av_cold int ff_wma_init(AVCodecContext *avctx, int flags2)
 #endif /* TRACE */
     }
 
+    s->fdsp = avpriv_float_dsp_alloc(avctx->flags & CODEC_FLAG_BITEXACT);
+    if (!s->fdsp)
+        return AVERROR(ENOMEM);
+
     /* choose the VLC tables for the coefficients */
     coef_vlc_table = 2;
     if (avctx->sample_rate >= 32000) {
@@ -383,6 +386,7 @@ int ff_wma_end(AVCodecContext *avctx)
         av_freep(&s->level_table[i]);
         av_freep(&s->int_table[i]);
     }
+    av_freep(&s->fdsp);
 
     return 0;
 }
diff --git a/libavcodec/wma.h b/libavcodec/wma.h
index 6e5198a360..a232b8a4c6 100644
--- a/libavcodec/wma.h
+++ b/libavcodec/wma.h
@@ -132,7 +132,7 @@ typedef struct WMACodecContext {
     float lsp_pow_m_table1[(1 << LSP_POW_BITS)];
     float lsp_pow_m_table2[(1 << LSP_POW_BITS)];
     FmtConvertContext fmt_conv;
-    AVFloatDSPContext fdsp;
+    AVFloatDSPContext *fdsp;
 
 #ifdef TRACE
     int frame_count;
diff --git a/libavcodec/wmadec.c b/libavcodec/wmadec.c
index 6c3f28f25f..d32ca6ff76 100644
--- a/libavcodec/wmadec.c
+++ b/libavcodec/wmadec.c
@@ -390,14 +390,14 @@ static void wma_window(WMACodecContext *s, float *out)
         block_len = s->block_len;
         bsize     = s->frame_len_bits - s->block_len_bits;
 
-        s->fdsp.vector_fmul_add(out, in, s->windows[bsize],
+        s->fdsp->vector_fmul_add(out, in, s->windows[bsize],
                                 out, block_len);
     } else {
         block_len = 1 << s->prev_block_len_bits;
         n         = (s->block_len - block_len) / 2;
         bsize     = s->frame_len_bits - s->prev_block_len_bits;
 
-        s->fdsp.vector_fmul_add(out + n, in + n, s->windows[bsize],
+        s->fdsp->vector_fmul_add(out + n, in + n, s->windows[bsize],
                                 out + n, block_len);
 
         memcpy(out + n + block_len, in + n + block_len, n * sizeof(float));
@@ -411,7 +411,7 @@ static void wma_window(WMACodecContext *s, float *out)
         block_len = s->block_len;
         bsize     = s->frame_len_bits - s->block_len_bits;
 
-        s->fdsp.vector_fmul_reverse(out, in, s->windows[bsize], block_len);
+        s->fdsp->vector_fmul_reverse(out, in, s->windows[bsize], block_len);
     } else {
         block_len = 1 << s->next_block_len_bits;
         n         = (s->block_len - block_len) / 2;
@@ -419,7 +419,7 @@ static void wma_window(WMACodecContext *s, float *out)
 
         memcpy(out, in, n * sizeof(float));
 
-        s->fdsp.vector_fmul_reverse(out + n, in + n, s->windows[bsize],
+        s->fdsp->vector_fmul_reverse(out + n, in + n, s->windows[bsize],
                                     block_len);
 
         memset(out + n + block_len, 0, n * sizeof(float));
@@ -738,7 +738,7 @@ static int wma_decode_block(WMACodecContext *s)
             s->channel_coded[0] = 1;
         }
 
-        s->fdsp.butterflies_float(s->coefs[0], s->coefs[1], s->block_len);
+        s->fdsp->butterflies_float(s->coefs[0], s->coefs[1], s->block_len);
     }
 
 next:
diff --git a/libavcodec/wmaenc.c b/libavcodec/wmaenc.c
index 6337779fa3..08d45e9273 100644
--- a/libavcodec/wmaenc.c
+++ b/libavcodec/wmaenc.c
@@ -107,10 +107,10 @@ static void apply_window_and_mdct(AVCodecContext *avctx, const AVFrame *frame)
 
     for (ch = 0; ch < avctx->channels; ch++) {
         memcpy(s->output, s->frame_out[ch], window_len * sizeof(*s->output));
-        s->fdsp.vector_fmul_scalar(s->frame_out[ch], audio[ch], n, len);
-        s->fdsp.vector_fmul_reverse(&s->output[window_len], s->frame_out[ch],
+        s->fdsp->vector_fmul_scalar(s->frame_out[ch], audio[ch], n, len);
+        s->fdsp->vector_fmul_reverse(&s->output[window_len], s->frame_out[ch],
                                     win, len);
-        s->fdsp.vector_fmul(s->frame_out[ch], s->frame_out[ch], win, len);
+        s->fdsp->vector_fmul(s->frame_out[ch], s->frame_out[ch], win, len);
         mdct->mdct_calc(mdct, s->coefs[ch], s->output);
     }
 }