diff --git a/llama.cpp b/llama.cpp
index 2c74e8b0ebc5b..3f930fe85a85f 100644
--- a/llama.cpp
+++ b/llama.cpp
@@ -8558,7 +8558,7 @@ static void llama_copy_state_data_internal(struct llama_context * ctx, llama_dat
         if (kv_buf_size) {
             const size_t elt_size = ggml_element_size(kv_self.k);
 
-            ggml_context * cpy_ctx = ggml_init({ 4096, NULL, /* no_alloc */ true });
+            ggml_context * cpy_ctx = ggml_init({ 6*ggml_tensor_overhead() + ggml_graph_overhead(), NULL, /* no_alloc */ true });
             ggml_cgraph * gf = ggml_new_graph(cpy_ctx);
 
             ggml_tensor * kout3d = ggml_new_tensor_3d(cpy_ctx, kv_self.k->type, n_embd, kv_head, n_layer);
@@ -8686,7 +8686,7 @@ size_t llama_set_state_data(struct llama_context * ctx, uint8_t * src) {
 
             const size_t elt_size = ggml_element_size(kv_self.k);
 
-            ggml_context * cpy_ctx = ggml_init({ 4096, NULL, /* no_alloc */ true });
+            ggml_context * cpy_ctx = ggml_init({ 6*ggml_tensor_overhead() + ggml_graph_overhead(), NULL, /* no_alloc */ true });
             ggml_cgraph * gf = ggml_new_graph(cpy_ctx);
 
             ggml_tensor * kin3d = ggml_new_tensor_3d(cpy_ctx, kv_self.k->type, n_embd, kv_head, n_layer);