diff --git a/homeassistant/data_entry_flow.py b/homeassistant/data_entry_flow.py
index f628879a7fd..0bd494992b6 100644
--- a/homeassistant/data_entry_flow.py
+++ b/homeassistant/data_entry_flow.py
@@ -352,6 +352,18 @@ class FlowManager(abc.ABC, Generic[_FlowResultT, _HandlerT]):
     ) -> _FlowResultT:
         """Continue a data entry flow."""
         result: _FlowResultT | None = None
+
+        # Workaround for flow handlers which have not been upgraded to pass a show
+        # progress task, needed because of the change to eager tasks in HA Core 2024.5,
+        # can be removed in HA Core 2024.8.
+        flow = self._progress.get(flow_id)
+        if flow and flow.deprecated_show_progress:
+            if (cur_step := flow.cur_step) and cur_step[
+                "type"
+            ] == FlowResultType.SHOW_PROGRESS:
+                # Allow the progress task to finish before we call the flow handler
+                await asyncio.sleep(0)
+
         while not result or result["type"] == FlowResultType.SHOW_PROGRESS_DONE:
             result = await self._async_configure(flow_id, user_input)
             flow = self._progress.get(flow_id)