diff --git a/libswscale/aarch64/swscale.c b/libswscale/aarch64/swscale.c
index 4c31b78ed8..20697fc590 100644
--- a/libswscale/aarch64/swscale.c
+++ b/libswscale/aarch64/swscale.c
@@ -225,6 +225,9 @@ void ff_chrRangeToJpeg_neon(int16_t *dstU, int16_t *dstV, int width);
 
 av_cold void ff_sws_init_range_convert_aarch64(SwsInternal *c)
 {
+    int cpu_flags = av_get_cpu_flags();
+
+    if (have_neon(cpu_flags)) {
     if (c->srcRange != c->dstRange && !isAnyRGB(c->dstFormat)) {
         if (c->dstBpc <= 14) {
             if (c->srcRange) {
@@ -236,6 +239,7 @@ av_cold void ff_sws_init_range_convert_aarch64(SwsInternal *c)
             }
         }
     }
+    }
 }
 
 av_cold void ff_sws_init_swscale_aarch64(SwsInternal *c)
@@ -296,6 +300,5 @@ av_cold void ff_sws_init_swscale_aarch64(SwsInternal *c)
         default:
             break;
         }
-        ff_sws_init_range_convert_aarch64(c);
     }
 }
diff --git a/libswscale/loongarch/swscale_init_loongarch.c b/libswscale/loongarch/swscale_init_loongarch.c
index 7cc92be216..0c3a99d167 100644
--- a/libswscale/loongarch/swscale_init_loongarch.c
+++ b/libswscale/loongarch/swscale_init_loongarch.c
@@ -95,7 +95,6 @@ av_cold void ff_sws_init_swscale_loongarch(SwsInternal *c)
         }
     }
 #endif // #if HAVE_LASX
-    ff_sws_init_range_convert_loongarch(c);
 }
 
 av_cold void rgb2rgb_init_loongarch(void)
diff --git a/libswscale/riscv/swscale.c b/libswscale/riscv/swscale.c
index 8ed9ce969e..4bc6fb1e6d 100644
--- a/libswscale/riscv/swscale.c
+++ b/libswscale/riscv/swscale.c
@@ -26,9 +26,11 @@ void ff_range_chr_to_jpeg_16_rvv(int16_t *, int16_t *, int);
 void ff_range_lum_from_jpeg_16_rvv(int16_t *, int);
 void ff_range_chr_from_jpeg_16_rvv(int16_t *, int16_t *, int);
 
-av_cold static void ff_sws_init_range_convert_riscv(SwsInternal *c, int flags)
+av_cold void ff_sws_init_range_convert_riscv(SwsInternal *c)
 {
 #if HAVE_RVV
+    int flags = av_get_cpu_flags();
+
     static const struct {
         void (*lum)(int16_t *, int);
         void (*chr)(int16_t *, int16_t *, int);
@@ -67,9 +69,9 @@ RVV_INPUT(rgba32);
 
 av_cold void ff_sws_init_swscale_riscv(SwsInternal *c)
 {
+#if HAVE_RVV
     int flags = av_get_cpu_flags();
 
-#if HAVE_RVV
     if ((flags & AV_CPU_FLAG_RVV_I32) && (flags & AV_CPU_FLAG_RVB)) {
         switch (c->srcFormat) {
             case AV_PIX_FMT_ABGR:
@@ -122,5 +124,4 @@ av_cold void ff_sws_init_swscale_riscv(SwsInternal *c)
         }
     }
 #endif
-    ff_sws_init_range_convert_riscv(c, flags);
 }
diff --git a/libswscale/swscale.c b/libswscale/swscale.c
index e0a9e0279f..3d9b9d4b96 100644
--- a/libswscale/swscale.c
+++ b/libswscale/swscale.c
@@ -563,6 +563,16 @@ av_cold void ff_sws_init_range_convert(SwsInternal *c)
             }
         }
     }
+
+#if ARCH_AARCH64
+    ff_sws_init_range_convert_aarch64(c);
+#elif ARCH_LOONGARCH64
+    ff_sws_init_range_convert_loongarch(c);
+#elif ARCH_RISCV
+    ff_sws_init_range_convert_riscv(c);
+#elif ARCH_X86
+    ff_sws_init_range_convert_x86(c);
+#endif
 }
 
 static av_cold void sws_init_swscale(SwsInternal *c)
diff --git a/libswscale/swscale_internal.h b/libswscale/swscale_internal.h
index b8820ea0ba..0035168997 100644
--- a/libswscale/swscale_internal.h
+++ b/libswscale/swscale_internal.h
@@ -719,6 +719,7 @@ void ff_update_palette(SwsInternal *c, const uint32_t *pal);
 av_cold void ff_sws_init_range_convert(SwsInternal *c);
 av_cold void ff_sws_init_range_convert_aarch64(SwsInternal *c);
 av_cold void ff_sws_init_range_convert_loongarch(SwsInternal *c);
+av_cold void ff_sws_init_range_convert_riscv(SwsInternal *c);
 av_cold void ff_sws_init_range_convert_x86(SwsInternal *c);
 
 SwsFunc ff_yuv2rgb_init_x86(SwsInternal *c);
diff --git a/libswscale/utils.c b/libswscale/utils.c
index c49121de59..1c3b4083df 100644
--- a/libswscale/utils.c
+++ b/libswscale/utils.c
@@ -1095,16 +1095,8 @@ int sws_setColorspaceDetails(SwsContext *sws, const int inv_table[4],
     c->srcRange   = srcRange;
     c->dstRange   = dstRange;
 
-    if (need_reinit) {
+    if (need_reinit)
         ff_sws_init_range_convert(c);
-#if ARCH_AARCH64
-        ff_sws_init_range_convert_aarch64(c);
-#elif ARCH_LOONGARCH64
-        ff_sws_init_range_convert_loongarch(c);
-#elif ARCH_X86
-        ff_sws_init_range_convert_x86(c);
-#endif
-    }
 
     c->dstFormatBpp = av_get_bits_per_pixel(desc_dst);
     c->srcFormatBpp = av_get_bits_per_pixel(desc_src);
diff --git a/libswscale/x86/swscale.c b/libswscale/x86/swscale.c
index 16182124c0..28e8c2ad26 100644
--- a/libswscale/x86/swscale.c
+++ b/libswscale/x86/swscale.c
@@ -851,6 +851,4 @@ switch(c->dstBpc){ \
     }
 
 #endif
-
-    ff_sws_init_range_convert_x86(c);
 }