diff --git a/BUILD b/BUILD
index 879aec8d0c4..25bd67ec8a1 100644
--- a/BUILD
+++ b/BUILD
@@ -2312,6 +2312,7 @@ grpc_cc_library(
         "src/core/lib/event_engine/iomgr_engine/iomgr_engine_closure.h",
     ],
     external_deps = [
+        "absl/functional:any_invocable",
         "absl/status",
         "absl/utility",
     ],
diff --git a/src/core/lib/event_engine/iomgr_engine/iomgr_engine_closure.h b/src/core/lib/event_engine/iomgr_engine/iomgr_engine_closure.h
index 60dacae492a..9716c8eae6c 100644
--- a/src/core/lib/event_engine/iomgr_engine/iomgr_engine_closure.h
+++ b/src/core/lib/event_engine/iomgr_engine/iomgr_engine_closure.h
@@ -16,9 +16,9 @@
 #define GRPC_CORE_LIB_EVENT_ENGINE_IOMGR_ENGINE_IOMGR_ENGINE_CLOSURE_H
 #include <grpc/support/port_platform.h>
 
-#include <functional>
 #include <utility>
 
+#include "absl/functional/any_invocable.h"
 #include "absl/status/status.h"
 #include "absl/utility/utility.h"
 
@@ -35,7 +35,8 @@ class IomgrEngineClosure final
     : public grpc_event_engine::experimental::EventEngine::Closure {
  public:
   IomgrEngineClosure() = default;
-  IomgrEngineClosure(std::function<void(absl::Status)>&& cb, bool is_permanent)
+  IomgrEngineClosure(absl::AnyInvocable<void(absl::Status)> cb,
+                     bool is_permanent)
       : cb_(std::move(cb)),
         is_permanent_(is_permanent),
         status_(absl::OkStatus()) {}
@@ -51,19 +52,19 @@ class IomgrEngineClosure final
   // This closure clean doesn't itself up after execution. It is expected to be
   // cleaned up by the caller at the appropriate time.
   static IomgrEngineClosure* ToPermanentClosure(
-      std::function<void(absl::Status)>&& cb) {
+      absl::AnyInvocable<void(absl::Status)> cb) {
     return new IomgrEngineClosure(std::move(cb), true);
   }
 
   // This closure clean's itself up after execution. It is expected to be
   // used only in tests.
   static IomgrEngineClosure* TestOnlyToClosure(
-      std::function<void(absl::Status)>&& cb) {
+      absl::AnyInvocable<void(absl::Status)> cb) {
     return new IomgrEngineClosure(std::move(cb), false);
   }
 
  private:
-  std::function<void(absl::Status)> cb_;
+  absl::AnyInvocable<void(absl::Status)> cb_;
   bool is_permanent_ = false;
   absl::Status status_;
 };