diff --git a/tokio/src/runtime/context.rs b/tokio/src/runtime/context.rs
index c49c08932b2..f266bea014e 100644
--- a/tokio/src/runtime/context.rs
+++ b/tokio/src/runtime/context.rs
@@ -138,6 +138,13 @@ pub(super) fn budget<R>(f: impl FnOnce(&Cell<coop::Budget>) -> R) -> Result<R, A
 cfg_rt! {
     use crate::runtime::ThreadId;
 
+    #[cfg(target_env = "sgx")]
+    pub(crate) fn has_thread_id() -> bool {
+        CONTEXT.try_with(|ctx| {
+            ctx.thread_id.get().is_some()
+        }).unwrap_or(false)
+    }
+
     pub(crate) fn thread_id() -> Result<ThreadId, AccessError> {
         CONTEXT.try_with(|ctx| {
             match ctx.thread_id.get() {
diff --git a/tokio/src/task/local.rs b/tokio/src/task/local.rs
index 11dfa274ee3..a7c0bd7826a 100644
--- a/tokio/src/task/local.rs
+++ b/tokio/src/task/local.rs
@@ -1112,6 +1112,14 @@ impl LocalState {
 
     #[track_caller]
     fn assert_called_from_owner_thread(&self) {
+        // Even when the thread is being destroyed, local data may still be initialized on the SGX
+        // platform. So calling `context::thread_id()` will always return a thread id. In line with
+        // the `debug_assert` below, we ignore such cases on the SGX platform.
+        #[cfg(target_env = "sgx")]
+        if !context::has_thread_id() {
+            return;
+        }
+
         // FreeBSD has some weirdness around thread-local destruction.
         // TODO: remove this hack when thread id is cleaned up
         #[cfg(not(any(target_os = "openbsd", target_os = "freebsd")))]
diff --git a/tokio/tests/task_local_set.rs b/tokio/tests/task_local_set.rs
index 5b8f47234f9..a457af0b0fe 100644
--- a/tokio/tests/task_local_set.rs
+++ b/tokio/tests/task_local_set.rs
@@ -307,7 +307,6 @@ fn join_local_future_elsewhere() {
 }
 
 // Tests for <https://github.com/tokio-rs/tokio/issues/4973>
-#[cfg(not(target_env = "sgx"))] // Fails on SGX!
 #[cfg(not(target_os = "wasi"))] // Wasi doesn't support threads
 #[tokio::test(flavor = "multi_thread")]
 async fn localset_in_thread_local() {
@@ -575,7 +574,6 @@ async fn spawn_wakes_localset() {
 }
 
 #[test]
-#[cfg(not(target_env = "sgx"))] // Fails on SGX!
 fn store_local_set_in_thread_local_with_runtime() {
     use tokio::runtime::Runtime;