diff --git a/csrc/cpu/cpu_attn.cpp b/csrc/cpu/cpu_attn.cpp
index 02c722ba031a..374fc2ee6ddc 100644
--- a/csrc/cpu/cpu_attn.cpp
+++ b/csrc/cpu/cpu_attn.cpp
@@ -15,6 +15,7 @@
 
 #ifdef __aarch64__
   #include "cpu_attn_neon.hpp"
+  // NEON requires head_dim to be a multiple of 32
   #define NEON_DISPATCH(...)                                                   \
     case cpu_attention::ISA::NEON: {                                           \
       using attn_impl = cpu_attention::AttentionImpl<cpu_attention::ISA::NEON, \
@@ -36,7 +37,9 @@
     switch (HEAD_DIM) {                                         \
       CPU_ATTN_DISPATCH_CASE(32, __VA_ARGS__)                   \
       CPU_ATTN_DISPATCH_CASE(64, __VA_ARGS__)                   \
+      CPU_ATTN_DISPATCH_CASE(80, __VA_ARGS__)                   \
       CPU_ATTN_DISPATCH_CASE(96, __VA_ARGS__)                   \
+      CPU_ATTN_DISPATCH_CASE(112, __VA_ARGS__)                  \
       CPU_ATTN_DISPATCH_CASE(128, __VA_ARGS__)                  \
       CPU_ATTN_DISPATCH_CASE(160, __VA_ARGS__)                  \
       CPU_ATTN_DISPATCH_CASE(192, __VA_ARGS__)                  \
diff --git a/csrc/cpu/cpu_attn_amx.hpp b/csrc/cpu/cpu_attn_amx.hpp
index 8da458b99119..78be05e8dc82 100644
--- a/csrc/cpu/cpu_attn_amx.hpp
+++ b/csrc/cpu/cpu_attn_amx.hpp
@@ -377,7 +377,7 @@ class AttentionImpl<ISA::AMX, scalar_t, head_dim> {
       const int32_t q_heads_per_kv, const int64_t q_num_stride,
       const int64_t q_head_stride, const float scale) {
     constexpr int64_t bytes_per_head = head_dim * sizeof(scalar_t);
-    static_assert(bytes_per_head % AMX_TILE_ROW_BYTES == 0);
+    // static_assert(bytes_per_head % AMX_TILE_ROW_BYTES == 0);
     constexpr int64_t head_size_block_num = bytes_per_head / AMX_TILE_ROW_BYTES;
     constexpr int64_t head_elem_num_pre_block =
         AMX_TILE_ROW_BYTES / sizeof(scalar_t);
diff --git a/csrc/cpu/cpu_attn_neon.hpp b/csrc/cpu/cpu_attn_neon.hpp
index 827f0cfbc718..e9ecd1d32904 100644
--- a/csrc/cpu/cpu_attn_neon.hpp
+++ b/csrc/cpu/cpu_attn_neon.hpp
@@ -264,7 +264,7 @@ class AttentionImpl<ISA::NEON, scalar_t, head_dim> {
   constexpr static ISA ISAType = ISA::NEON;
   constexpr static bool scale_on_logits = false;  // apply scale on q_buffer
 
-  static_assert(HeadDim % HeadDimAlignment == 0);
+  //  static_assert(HeadDim % HeadDimAlignment == 0);
   // the gemm micro kernel is Mx8
   static_assert(HeadDimAlignment % 8 == 0);
   static_assert(BlockSizeAlignment % 8 == 0);
diff --git a/vllm/v1/attention/backends/cpu_attn.py b/vllm/v1/attention/backends/cpu_attn.py
index 394d0c2f6713..abbee244af3d 100644
--- a/vllm/v1/attention/backends/cpu_attn.py
+++ b/vllm/v1/attention/backends/cpu_attn.py
@@ -42,7 +42,7 @@ def get_supported_dtypes(cls) -> list[torch.dtype]:
 
     @classmethod
     def get_supported_head_sizes(cls) -> list[int]:
-        return [32, 64, 96, 128, 160, 192, 224, 256]
+        return [32, 64, 80, 96, 112, 128, 160, 192, 224, 256]
 
     @staticmethod
     def get_name() -> str:
@@ -137,7 +137,7 @@ def __init__(
         if self.window_size is None:
             self.window_size = -1
         self.block_size = vllm_config.cache_config.block_size
-        self.isa = _get_attn_isa(self.dtype, self.block_size)
+        self.isa = _get_attn_isa(self.dtype, self.block_size, self.head_dim)
         self.is_cross_attention = isinstance(kv_cache_spec, CrossAttentionSpec)
 
     def build(
@@ -484,7 +484,11 @@ def _make_sliding_window_bias(
     return attn_biases
 
 
-def _get_attn_isa(dtype: torch.dtype, block_size: int) -> str:
+def _get_attn_isa(
+    dtype: torch.dtype, block_size: int, head_size: int | None = None
+) -> str:
+    if head_size is not None and head_size % 32 != 0 and head_size % 16 == 0:
+        return "vec16"
     supports_amx = torch._C._cpu._is_amx_tile_supported()
     if supports_amx and dtype in (torch.bfloat16,) and block_size % 32 == 0:
         return "amx"