diff --git a/CHANGES.md b/CHANGES.md
index 7040d695..65d523e2 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -1,3 +1,9 @@
+3.7.0 (TBD)
+===========
+
+- Only warn about simultaneous `libomp` and `libiomp` usage on Linux, where the
+  incompatibility is known to cause crashes.
+
 3.6.0 (2025-03-13)
 ==================
 
diff --git a/threadpoolctl.py b/threadpoolctl.py
index ceed5b88..c0c41a53 100644
--- a/threadpoolctl.py
+++ b/threadpoolctl.py
@@ -1215,6 +1215,13 @@ def _check_prefix(self, library_basename, filename_prefixes):
 
     def _warn_if_incompatible_openmp(self):
         """Raise a warning if llvm-OpenMP and intel-OpenMP are both loaded"""
+        if sys.platform != "linux":
+            # The incompatibility between libomp and libiomp is known to cause
+            # crashes on Linux. On other platforms, conda-forge may expose both
+            # libraries without the same runtime conflict (for instance when
+            # libiomp forwards to libomp on Windows).
+            return
+
         prefixes = [lib_controller.prefix for lib_controller in self.lib_controllers]
         msg = textwrap.dedent(
             """