diff --git a/src/llama-kv-cache-dsv4.cpp b/src/llama-kv-cache-dsv4.cpp
index ebafac0919..7cb6cc18da 100644
--- a/src/llama-kv-cache-dsv4.cpp
+++ b/src/llama-kv-cache-dsv4.cpp
@@ -720,7 +720,7 @@ llama_dsv4_comp_state::llama_dsv4_comp_state(
         auto it = ctx_map.find(buft);
         if (it == ctx_map.end()) {
             ggml_init_params params = {
-                /*.mem_size   =*/ size_t(2u*hparams.n_layer()*ggml_tensor_overhead()),
+                /*.mem_size   =*/ size_t(2u*(1 + n_stream)*hparams.n_layer()*ggml_tensor_overhead()),
                 /*.mem_buffer =*/ NULL,
                 /*.no_alloc   =*/ true,
             };
@@ -767,9 +767,17 @@ llama_dsv4_comp_state::llama_dsv4_comp_state(
         ggml_format_name(kv,    "dsv4_%s_state_kv_l%d",    name, il);
         ggml_format_name(score, "dsv4_%s_state_score_l%d", name, il);
 
+        std::vector<ggml_tensor *> kv_stream;
+        std::vector<ggml_tensor *> score_stream;
+
+        for (uint32_t s = 0; s < n_stream; ++s) {
+            kv_stream.push_back(ggml_view_2d(ctx, kv, n_embd_state, state_size, kv->nb[1], s*kv->nb[2]));
+            score_stream.push_back(ggml_view_2d(ctx, score, n_embd_state, state_size, score->nb[1], s*score->nb[2]));
+        }
+
         map_layer_ids[il] = layers.size();
 
-        layers.push_back({ il, kv, score });
+        layers.push_back({ il, kv, score, std::move(kv_stream), std::move(score_stream) });
     }
 
     for (auto & [buft, ctx] : ctx_map) {
@@ -809,6 +817,30 @@ void llama_dsv4_comp_state::clear(llama_seq_id seq_id, bool data) {
     }
 }
 
+void llama_dsv4_comp_state::seq_cp(llama_seq_id seq_id_src, llama_seq_id seq_id_dst) {
+    GGML_ASSERT(seq_id_src >= 0 && (uint32_t) seq_id_src < n_stream);
+    GGML_ASSERT(seq_id_dst >= 0 && (uint32_t) seq_id_dst < n_stream);
+
+    if (seq_id_src == seq_id_dst) {
+        return;
+    }
+
+    sc_info.ssrc.push_back((uint32_t) seq_id_src);
+    sc_info.sdst.push_back((uint32_t) seq_id_dst);
+}
+
+void llama_dsv4_comp_state::apply_copies(const stream_copy_info & sc_info) const {
+    for (size_t i = 0; i < sc_info.ssrc.size(); ++i) {
+        const uint32_t ssrc = sc_info.ssrc[i];
+        const uint32_t sdst = sc_info.sdst[i];
+
+        for (const auto & layer : layers) {
+            ggml_backend_tensor_copy(layer.kv_stream[ssrc], layer.kv_stream[sdst]);
+            ggml_backend_tensor_copy(layer.score_stream[ssrc], layer.score_stream[sdst]);
+        }
+    }
+}
+
 uint32_t llama_dsv4_comp_state::get_ratio() const {
     return ratio;
 }
@@ -1154,7 +1186,13 @@ llama_memory_context_ptr llama_kv_cache_dsv4::init_full() {
 }
 
 llama_memory_context_ptr llama_kv_cache_dsv4::init_update(llama_context * lctx, bool optimize) {
-    return std::make_unique<llama_kv_cache_dsv4_context>(this, lctx, optimize);
+    return std::make_unique<llama_kv_cache_dsv4_context>(
+            this,
+            lctx,
+            optimize,
+            std::move(csa_state->sc_info),
+            std::move(hca_state->sc_info),
+            std::move(lid_state->sc_info));
 }
 
 bool llama_kv_cache_dsv4::get_can_shift() const {
@@ -1174,14 +1212,19 @@ bool llama_kv_cache_dsv4::seq_rm(llama_seq_id seq_id, llama_pos p0, llama_pos p1
     }
 
     if (p0 > 0) {
-        // DSV4 compressed cache rows are derived from running compressor state,
-        // so arbitrary rollback is not reconstructible from the raw cache alone.
-        // Allow the common prompt-cache cleanup no-op: remove [end, infinity).
-        if (seq_id >= 0 && p0 > kv_raw->seq_pos_max(seq_id)) {
-            return true;
+        if (seq_id < 0 || (uint32_t) seq_id >= n_seq_max ||
+                p0 <= kv_raw->seq_pos_max(seq_id)) {
+            return false;
         }
 
-        return false;
+        bool res = true;
+
+        res = res & kv_raw->seq_rm(seq_id, p0, -1);
+        res = res & kv_csa->seq_rm(seq_id, p0/DSV4_CSA_RATIO, -1);
+        res = res & kv_hca->seq_rm(seq_id, p0/DSV4_HCA_RATIO, -1);
+        res = res & kv_lid->seq_rm(seq_id, p0/DSV4_CSA_RATIO, -1);
+
+        return res;
     }
 
     const bool res = kv_raw->seq_rm(seq_id, p0, p1);
@@ -1194,7 +1237,16 @@ bool llama_kv_cache_dsv4::seq_rm(llama_seq_id seq_id, llama_pos p0, llama_pos p1
 }
 
 void llama_kv_cache_dsv4::seq_cp(llama_seq_id seq_id_src, llama_seq_id seq_id_dst, llama_pos p0, llama_pos p1) {
+    GGML_ASSERT(p0 <= 0 && p1 < 0 && "DSV4 only supports full sequence copies");
+
     kv_raw->seq_cp(seq_id_src, seq_id_dst, p0, p1);
+    kv_csa->seq_cp(seq_id_src, seq_id_dst, -1, -1);
+    kv_hca->seq_cp(seq_id_src, seq_id_dst, -1, -1);
+    kv_lid->seq_cp(seq_id_src, seq_id_dst, -1, -1);
+
+    csa_state->seq_cp(seq_id_src, seq_id_dst);
+    hca_state->seq_cp(seq_id_src, seq_id_dst);
+    lid_state->seq_cp(seq_id_src, seq_id_dst);
 }
 
 void llama_kv_cache_dsv4::seq_keep(llama_seq_id seq_id) {
@@ -1639,20 +1691,26 @@ llama_kv_cache_dsv4_context::llama_kv_cache_dsv4_context(
 llama_kv_cache_dsv4_context::llama_kv_cache_dsv4_context(
         llama_kv_cache_dsv4 * kv,
         llama_context * lctx,
-        bool optimize) :
+        bool optimize,
+        stream_copy_info sc_info_csa,
+        stream_copy_info sc_info_hca,
+        stream_copy_info sc_info_lid) :
     ctx_raw(std::make_unique<llama_kv_cache_dsv4_raw_context>(kv->get_raw(), lctx, optimize)),
     ctx_csa_mem(kv->get_csa()->init_update(lctx, optimize)),
     ctx_hca_mem(kv->get_hca()->init_update(lctx, optimize)),
     ctx_lid_mem(kv->get_lid()->init_update(lctx, optimize)),
-    ctx_csa(std::make_unique<llama_kv_cache_dsv4_comp_context>(kv->get_csa())),
-    ctx_hca(std::make_unique<llama_kv_cache_dsv4_comp_context>(kv->get_hca())),
-    ctx_lid(std::make_unique<llama_kv_cache_dsv4_comp_context>(kv->get_lid())),
     csa_state(kv->get_csa_state()),
     hca_state(kv->get_hca_state()),
     lid_state(kv->get_lid_state()),
+    sc_info_csa(std::move(sc_info_csa)),
+    sc_info_hca(std::move(sc_info_hca)),
+    sc_info_lid(std::move(sc_info_lid)),
     status(llama_memory_status_combine(
-                llama_memory_status_combine(ctx_raw->get_status(), ctx_csa_mem->get_status()),
-                llama_memory_status_combine(ctx_hca_mem->get_status(), ctx_lid_mem->get_status()))) {
+                llama_memory_status_combine(
+                    llama_memory_status_combine(ctx_raw->get_status(), ctx_csa_mem->get_status()),
+                    llama_memory_status_combine(ctx_hca_mem->get_status(), ctx_lid_mem->get_status())),
+                this->sc_info_csa.empty() && this->sc_info_hca.empty() && this->sc_info_lid.empty() ?
+                    LLAMA_MEMORY_STATUS_NO_UPDATE : LLAMA_MEMORY_STATUS_SUCCESS)) {
 }
 
 llama_kv_cache_dsv4_context::llama_kv_cache_dsv4_context(
@@ -1720,6 +1778,18 @@ bool llama_kv_cache_dsv4_context::apply() {
 
     res = res & ctx_raw->apply();
 
+    if (ctx_csa_mem) {
+        res = res & ctx_csa_mem->apply();
+        res = res & ctx_hca_mem->apply();
+        res = res & ctx_lid_mem->apply();
+    }
+
+    if (ubatches.empty()) {
+        csa_state->apply_copies(sc_info_csa);
+        hca_state->apply_copies(sc_info_hca);
+        lid_state->apply_copies(sc_info_lid);
+    }
+
     return res;
 }
 
diff --git a/src/llama-kv-cache-dsv4.h b/src/llama-kv-cache-dsv4.h
index 91619ce9e1..76b1daf578 100644
--- a/src/llama-kv-cache-dsv4.h
+++ b/src/llama-kv-cache-dsv4.h
@@ -10,6 +10,10 @@
 
 class llama_dsv4_comp_state {
 public:
+    using stream_copy_info = llama_kv_cache::stream_copy_info;
+
+    stream_copy_info sc_info;
+
     llama_dsv4_comp_state(
             const llama_model & model,
             bool            offload,
@@ -22,6 +26,8 @@ public:
         const llama_memory_i::layer_filter_cb & filter);
 
     void clear(llama_seq_id seq_id, bool data);
+    void seq_cp(llama_seq_id seq_id_src, llama_seq_id seq_id_dst);
+    void apply_copies(const stream_copy_info & sc_info) const;
 
     uint32_t get_ratio()    const;
     uint32_t get_state_size() const;
@@ -44,6 +50,9 @@ private:
 
         ggml_tensor * kv;
         ggml_tensor * score;
+
+        std::vector<ggml_tensor *> kv_stream;
+        std::vector<ggml_tensor *> score_stream;
     };
 
     const uint32_t ratio;
@@ -245,6 +254,7 @@ private:
 class llama_kv_cache_dsv4_context : public llama_memory_context_i {
 public:
     using slot_info_vec_t = llama_kv_cache::slot_info_vec_t;
+    using stream_copy_info = llama_kv_cache::stream_copy_info;
 
     struct comp_plan {
         // Per-ubatch recipe for updating compressor state, committing completed
@@ -291,7 +301,10 @@ public:
     llama_kv_cache_dsv4_context(
             llama_kv_cache_dsv4 * kv,
             llama_context * lctx,
-            bool optimize);
+            bool optimize,
+            stream_copy_info sc_info_csa,
+            stream_copy_info sc_info_hca,
+            stream_copy_info sc_info_lid);
 
     llama_kv_cache_dsv4_context(
             llama_kv_cache_dsv4 * kv,
@@ -351,9 +364,13 @@ private:
     const std::unique_ptr<llama_kv_cache_dsv4_comp_context> ctx_hca;
     const std::unique_ptr<llama_kv_cache_dsv4_comp_context> ctx_lid;
 
-    const llama_dsv4_comp_state * csa_state = nullptr;
-    const llama_dsv4_comp_state * hca_state = nullptr;
-    const llama_dsv4_comp_state * lid_state = nullptr;
+    llama_dsv4_comp_state * csa_state = nullptr;
+    llama_dsv4_comp_state * hca_state = nullptr;
+    llama_dsv4_comp_state * lid_state = nullptr;
+
+    stream_copy_info sc_info_csa;
+    stream_copy_info sc_info_hca;
+    stream_copy_info sc_info_lid;
 
     bool reserve_plans = false;
     mutable comp_plan reserve_plan_csa;