diff --git a/src/gallium/drivers/nouveau/nv_object.xml.h b/src/gallium/drivers/nouveau/nv_object.xml.h
index 20d5fd37a1e..6cfc26935e5 100644
--- a/src/gallium/drivers/nouveau/nv_object.xml.h
+++ b/src/gallium/drivers/nouveau/nv_object.xml.h
@@ -214,7 +214,12 @@ WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
 #define NV84_CRYPT_CLASS					0x000074c1
 #define BLOB_NVC0_PCOPY1_CLASS					0x000090b8
 #define BLOB_NVC0_PCOPY0_CLASS					0x000090b5
-#define NVE4_COPY_CLASS						0x0000a0b5
+#define KEPLER_DMA_COPY_A					0x0000a0b5
+#define MAXWELL_DMA_COPY_A					0x0000b0b5
+#define PASCAL_DMA_COPY_A					0x0000c0b5
+#define PASCAL_DMA_COPY_B					0x0000c1b5
+#define VOLTA_DMA_COPY_A					0x0000c3b5
+#define TURING_DMA_COPY_A					0x0000c5b5
 #define NVE4_P2MF_CLASS						0x0000a040
 #define NVF0_P2MF_CLASS						0x0000a140
 #define NV31_MPEG_CLASS						0x00003174
diff --git a/src/gallium/drivers/nouveau/nvc0/nvc0_screen.c b/src/gallium/drivers/nouveau/nvc0/nvc0_screen.c
index 8d01c7e6a2e..f949c32c2a0 100644
--- a/src/gallium/drivers/nouveau/nvc0/nvc0_screen.c
+++ b/src/gallium/drivers/nouveau/nvc0/nvc0_screen.c
@@ -734,6 +734,7 @@ nvc0_screen_destroy(struct pipe_screen *pscreen)
    nouveau_object_del(&screen->eng3d);
    nouveau_object_del(&screen->eng2d);
    nouveau_object_del(&screen->m2mf);
+   nouveau_object_del(&screen->copy);
    nouveau_object_del(&screen->compute);
    nouveau_object_del(&screen->nvsw);
 
@@ -1167,9 +1168,28 @@ nvc0_screen_create(struct nouveau_device *dev)
 
    BEGIN_NVC0(push, SUBC_M2MF(NV01_SUBCHAN_OBJECT), 1);
    PUSH_DATA (push, screen->m2mf->oclass);
-   if (screen->m2mf->oclass == NVE4_P2MF_CLASS) {
+
+   if (screen->m2mf->oclass >= NVE4_P2MF_CLASS) {
+      const struct nouveau_mclass copys[] = {
+         {  TURING_DMA_COPY_A, -1 },
+         {   VOLTA_DMA_COPY_A, -1 },
+         {  PASCAL_DMA_COPY_B, -1 },
+         {  PASCAL_DMA_COPY_A, -1 },
+         { MAXWELL_DMA_COPY_A, -1 },
+         {  KEPLER_DMA_COPY_A, -1 },
+         {}
+      };
+
+      ret = nouveau_object_mclass(chan, copys);
+      if (ret < 0)
+         FAIL_SCREEN_INIT("No supported copy engine class: %d\n", ret);
+
+      ret = nouveau_object_new(chan, 0, copys[ret].oclass, NULL, 0, &screen->copy);
+      if (ret)
+         FAIL_SCREEN_INIT("Error allocating copy engine class: %d\n", ret);
+
       BEGIN_NVC0(push, SUBC_COPY(NV01_SUBCHAN_OBJECT), 1);
-      PUSH_DATA (push, NVE4_COPY_CLASS);
+      PUSH_DATA (push, screen->copy->oclass);
    }
 
    ret = nouveau_object_new(chan, 0xbeef902d, NVC0_2D_CLASS, NULL, 0,
diff --git a/src/gallium/drivers/nouveau/nvc0/nvc0_screen.h b/src/gallium/drivers/nouveau/nvc0/nvc0_screen.h
index 8bce90ae3af..07e3cde62c8 100644
--- a/src/gallium/drivers/nouveau/nvc0/nvc0_screen.h
+++ b/src/gallium/drivers/nouveau/nvc0/nvc0_screen.h
@@ -126,6 +126,7 @@ struct nvc0_screen {
    struct nouveau_object *eng3d; /* sqrt(1/2)|kepler> + sqrt(1/2)|fermi> */
    struct nouveau_object *eng2d;
    struct nouveau_object *m2mf;
+   struct nouveau_object *copy;
    struct nouveau_object *compute;
    struct nouveau_object *nvsw;
 };