diff --git a/src/compiler/spirv/spirv_to_nir.c b/src/compiler/spirv/spirv_to_nir.c
index 77b3f7ef517..0cf1e79b7e3 100644
--- a/src/compiler/spirv/spirv_to_nir.c
+++ b/src/compiler/spirv/spirv_to_nir.c
@@ -68,6 +68,7 @@ static const struct spirv_capabilities implemented_capabilities = {
    .ComputeDerivativeGroupLinearKHR = true,
    .ComputeDerivativeGroupQuadsKHR = true,
    .CooperativeMatrixKHR = true,
+   .CooperativeMatrixConversionsNV = true,
    .CullDistance = true,
    .DemoteToHelperInvocation = true,
    .DenormFlushToZero = true,
@@ -6862,6 +6863,8 @@ vtn_handle_body_instruction(struct vtn_builder *b, SpvOp opcode,
    case SpvOpCooperativeMatrixStoreKHR:
    case SpvOpCooperativeMatrixLengthKHR:
    case SpvOpCooperativeMatrixMulAddKHR:
+   case SpvOpCooperativeMatrixConvertNV:
+   case SpvOpCooperativeMatrixTransposeNV:
       vtn_handle_cooperative_instruction(b, opcode, w, count);
       break;
 
diff --git a/src/compiler/spirv/vtn_cmat.c b/src/compiler/spirv/vtn_cmat.c
index e43557d9f96..f0ab5ba95c2 100644
--- a/src/compiler/spirv/vtn_cmat.c
+++ b/src/compiler/spirv/vtn_cmat.c
@@ -179,6 +179,26 @@ vtn_handle_cooperative_instruction(struct vtn_builder *b, SpvOp opcode,
       break;
    }
 
+   case SpvOpCooperativeMatrixConvertNV: {
+      struct vtn_type *dst_type = vtn_get_type(b, w[1]);
+      nir_deref_instr *src = vtn_get_cmat_deref(b, w[3]);
+
+      nir_deref_instr *dst = vtn_create_cmat_temporary(b, dst_type->type, "cmat_convert_nv");
+      nir_cmat_convert(&b->nb, &dst->def, &src->def);
+      vtn_push_var_ssa(b, w[2], dst->var);
+      break;
+   }
+
+   case SpvOpCooperativeMatrixTransposeNV: {
+      struct vtn_type *dst_type = vtn_get_type(b, w[1]);
+      nir_deref_instr *src = vtn_get_cmat_deref(b, w[3]);
+
+      nir_deref_instr *dst = vtn_create_cmat_temporary(b, dst_type->type, "cmat_transpose_nv");
+      nir_cmat_transpose(&b->nb, &dst->def, &src->def);
+      vtn_push_var_ssa(b, w[2], dst->var);
+      break;
+   }
+
    default:
       unreachable("Unexpected opcode for cooperative matrix instruction");
    }