diff --git a/common/arg.cpp b/common/arg.cpp
index 4115b2f75..35500670f 100644
--- a/common/arg.cpp
+++ b/common/arg.cpp
@@ -609,7 +609,14 @@ common_params_context common_params_parser_init(common_params & params, llama_ex
         [](common_params & params, int value) {
             params.n_draft = value;
         }
-    ).set_examples({LLAMA_EXAMPLE_SPECULATIVE, LLAMA_EXAMPLE_LOOKUP}));
+    ).set_examples({LLAMA_EXAMPLE_SPECULATIVE, LLAMA_EXAMPLE_LOOKUP, LLAMA_EXAMPLE_SERVER}));
+    add_opt(common_arg(
+        {"--draft-min"}, "N",
+        string_format("minimum number of draft tokens to use for speculative decoding (default: %d)", params.n_draft_min),
+        [](common_params & params, int value) {
+            params.n_draft_min = value;
+        }
+    ).set_examples({LLAMA_EXAMPLE_SPECULATIVE, LLAMA_EXAMPLE_LOOKUP, LLAMA_EXAMPLE_SERVER}));
     add_opt(common_arg(
         {"-ps", "--p-split"}, "N",
         string_format("speculative decoding split probability (default: %.1f)", (double)params.p_split),
@@ -1454,7 +1461,7 @@ common_params_context common_params_parser_init(common_params & params, llama_ex
                 fprintf(stderr, "warning: see main README.md for information on enabling GPU BLAS support\n");
             }
         }
-    ).set_examples({LLAMA_EXAMPLE_SPECULATIVE}));
+    ).set_examples({LLAMA_EXAMPLE_SPECULATIVE, LLAMA_EXAMPLE_SERVER}));
     add_opt(common_arg(
         {"-sm", "--split-mode"}, "{none,layer,row}",
         "how to split the model across multiple GPUs, one of:\n"
@@ -1599,7 +1606,7 @@ common_params_context common_params_parser_init(common_params & params, llama_ex
         [](common_params & params, const std::string & value) {
             params.model_draft = value;
         }
-    ).set_examples({LLAMA_EXAMPLE_SPECULATIVE}));
+    ).set_examples({LLAMA_EXAMPLE_SPECULATIVE, LLAMA_EXAMPLE_SERVER}));
     add_opt(common_arg(
         {"-mu", "--model-url"}, "MODEL_URL",
         "model download url (default: unused)",
diff --git a/common/common.h b/common/common.h
index 29d678c7b..42c17ed3c 100644
--- a/common/common.h
+++ b/common/common.h
@@ -162,6 +162,7 @@ struct common_params {
     int32_t n_ubatch              =   512; // physical batch size for prompt processing (must be >=32 to use BLAS)
     int32_t n_keep                =     0; // number of tokens to keep from initial prompt
     int32_t n_draft               =     5; // number of tokens to draft during speculative decoding
+    int32_t n_draft_min           =     0; // minimum number of draft tokens to use for speculative decoding
     int32_t n_chunks              =    -1; // max number of chunks to process (-1 = unlimited)
     int32_t n_parallel            =     1; // number of parallel sequences to decode
     int32_t n_sequences           =     1; // number of sequences to decode
diff --git a/examples/speculative-simple/speculative-simple.cpp b/examples/speculative-simple/speculative-simple.cpp
index d7e572cf8..6dee64834 100644
--- a/examples/speculative-simple/speculative-simple.cpp
+++ b/examples/speculative-simple/speculative-simple.cpp
@@ -13,9 +13,6 @@
 int main(int argc, char ** argv) {
     common_params params;
 
-    // minimum size of the draft to use
-    const int n_min = 5;
-
     if (!common_params_parse(argc, argv, params, LLAMA_EXAMPLE_SPECULATIVE)) {
         return 1;
     }
@@ -142,7 +139,7 @@ int main(int argc, char ** argv) {
         // evaluate the target model on [id_last, draft0, draft1, ..., draftN-1]
         {
             // do not waste time on small drafts
-            if (draft.size() < n_min) {
+            if (draft.size() < params.n_draft_min) {
                 draft.clear();
             }