diff --git a/src/gallium/frontends/clover/core/kernel.cpp b/src/gallium/frontends/clover/core/kernel.cpp
index 16be95e5906..5d8b0452563 100644
--- a/src/gallium/frontends/clover/core/kernel.cpp
+++ b/src/gallium/frontends/clover/core/kernel.cpp
@@ -247,7 +247,7 @@ kernel::exec_context::bind(intrusive_ptr<command_queue> _q,
       case module::argument::constant_buffer: {
          auto arg = argument::create(marg);
          cl_mem buf = kern._constant_buffers.at(&q->device()).get();
-         arg->set(q->device().address_bits() / 8, &buf);
+         arg->set(sizeof(buf), &buf);
          arg->bind(*this, marg);
          break;
       }
diff --git a/src/gallium/frontends/clover/nir/invocation.cpp b/src/gallium/frontends/clover/nir/invocation.cpp
index d807e270ce1..f491691abbb 100644
--- a/src/gallium/frontends/clover/nir/invocation.cpp
+++ b/src/gallium/frontends/clover/nir/invocation.cpp
@@ -324,8 +324,8 @@ clover_lower_nir(nir_shader *nir, std::vector<module::argument> &args,
                                          "constant_buffer_addr");
       constant_var->data.location = args.size();
 
-      args.emplace_back(module::argument::global,
-                        pointer_bit_size / 8, pointer_bit_size / 8, pointer_bit_size / 8,
+      args.emplace_back(module::argument::global, sizeof(cl_mem),
+                        pointer_bit_size / 8, pointer_bit_size / 8,
                         module::argument::zero_ext,
                         module::argument::constant_buffer);
    }