diff --git a/onnxruntime/core/providers/migraphx/migraphx_execution_provider.cc b/onnxruntime/core/providers/migraphx/migraphx_execution_provider.cc
index 95cfa7135483f..4d0b4c834e8c8 100644
--- a/onnxruntime/core/providers/migraphx/migraphx_execution_provider.cc
+++ b/onnxruntime/core/providers/migraphx/migraphx_execution_provider.cc
@@ -744,7 +744,21 @@ std::unique_ptr<IndexedSubGraph> MIGraphXExecutionProvider::GetSubGraph(const st
     // be also added to the subgraph's output list
     if (node->GetOutputEdgesCount() > node->OutputDefs().size()) {
       for (auto it = node->OutputEdgesBegin(), end = node->OutputEdgesEnd(); it != end; ++it) {
-        const auto& node_idx = it->GetNode().Index();
+
+        const auto& target_node = it->GetNode();
+        const auto& target_op_type = target_node.OpType();
+
+        if (target_op_type == "If" || target_op_type == "Loop" || target_op_type == "Scan") {
+          const auto& src_output_idx = it->GetSrcArgIndex();
+          if (src_output_idx < node->OutputDefs().size()) {
+            const auto* output_def = node->OutputDefs()[src_output_idx];
+            if (output_def && fused_outputs.find(output_def) == fused_outputs.end() && erased.find(output_def) == erased.end()) {
+                    fused_outputs_to_add[output_def] = output_order++;
+            }
+          }
+          continue;
+        }
+        const auto& node_idx = target_node.Index();
         const auto& output = (it->GetNode()).InputDefs()[it->GetDstArgIndex()];
         if (node_set.find(node_idx) != node_set.end()) {
           const auto& iter = fused_inputs.find(output);
@@ -989,6 +1003,7 @@ GetUnsupportedNodeIndices(const GraphViewer& graph_viewer,
                                                     "SimplifiedLayerNormalization",
                                                     "Sin",
                                                     "Sinh",
+                                                    "Size",
                                                     "SkipLayerNormalization",
                                                     "SkipSimplifiedLayerNormalization",
                                                     "Slice",
@@ -1068,6 +1083,18 @@ MIGraphXExecutionProvider::GetCapability(const onnxruntime::GraphViewer& graph_v
                                          const GraphOptimizerRegistry& /* graph_optimizer_registry */,
                                          IResourceAccountant* /* resource_accountant */) const {
   std::vector<std::unique_ptr<ComputeCapability>> result;
+
+ if (graph_viewer.IsSubgraph())
+ {
+    const auto* parent_node = graph_viewer.ParentNode();
+    if (parent_node) {
+      const auto& parent_op_type = parent_node->OpType();
+      if (parent_op_type == "If" || parent_op_type == "Loop" || parent_op_type == "Scan") {
+        return result;
+      }
+    }
+  }
+
   auto model = graph_viewer.CreateModel(*GetLogger());
   auto model_proto = model->ToProto();
   graph_viewer.ToProto(*model_proto->mutable_graph(), true, true);