diff --git a/bitsandbytes/backends/cpu/ops.py b/bitsandbytes/backends/cpu/ops.py
index 436676c99..107f26c84 100644
--- a/bitsandbytes/backends/cpu/ops.py
+++ b/bitsandbytes/backends/cpu/ops.py
@@ -12,6 +12,8 @@
 
 logger = logging.getLogger(__name__)
 
+_has_avx512 = torch.backends.cpu.get_cpu_capability() == "AVX512"
+
 # torch._int_mm for s8@s8->s32 is supported on CPU from torch 2.4+.
 # However, we can overflow if we use this without AVX512_VNNI support.
 # This is fixed in torch 2.6+, so we set this as the minimum to be safe.
@@ -134,8 +136,14 @@ def _(
             lambda: f"Blockwise 4bit dequantization only supports 16/32-bit floats, but got {dtype}",
         )
 
+        # Fallback as AVX512 implementation has accuracy issues with fp16/fp32 and blocksize >= 2048
+        # Note: this is not a common use case.
+        avx512_fallback = _has_avx512 and blocksize >= 2048 and dtype != torch.bfloat16
+
         # Odd shape is not supported by this kernel; fallback to generic implementation
-        if shape[-1] % 2 != 0:
+        shape_fallback = shape[-1] % 2 != 0
+
+        if avx512_fallback or shape_fallback:
             from ..default.ops import _dequantize_4bit_impl
 
             return _dequantize_4bit_impl(A, absmax, blocksize, quant_type, shape, dtype)