diff --git a/src/tools/miri/src/shims/time.rs b/src/tools/miri/src/shims/time.rs
index 13ce9d119bc..4535bcf6dfe 100644
--- a/src/tools/miri/src/shims/time.rs
+++ b/src/tools/miri/src/shims/time.rs
@@ -110,12 +110,13 @@ fn gettimeofday(
     #[allow(non_snake_case, clippy::arithmetic_side_effects)]
     fn GetSystemTimeAsFileTime(
         &mut self,
+        shim_name: &str,
         LPFILETIME_op: &OpTy<'tcx, Provenance>,
     ) -> InterpResult<'tcx> {
         let this = self.eval_context_mut();
 
-        this.assert_target_os("windows", "GetSystemTimeAsFileTime");
-        this.check_no_isolation("`GetSystemTimeAsFileTime`")?;
+        this.assert_target_os("windows", shim_name);
+        this.check_no_isolation(shim_name)?;
 
         let filetime = this.deref_pointer_as(LPFILETIME_op, this.windows_ty_layout("FILETIME"))?;
 
diff --git a/src/tools/miri/src/shims/windows/foreign_items.rs b/src/tools/miri/src/shims/windows/foreign_items.rs
index fdd7fc5fad4..15ddd8a5846 100644
--- a/src/tools/miri/src/shims/windows/foreign_items.rs
+++ b/src/tools/miri/src/shims/windows/foreign_items.rs
@@ -246,11 +246,11 @@ fn emulate_foreign_item_inner(
             }
 
             // Time related shims
-            "GetSystemTimeAsFileTime" => {
+            "GetSystemTimeAsFileTime" | "GetSystemTimePreciseAsFileTime" => {
                 #[allow(non_snake_case)]
                 let [LPFILETIME] =
                     this.check_shim(abi, Abi::System { unwind: false }, link_name, args)?;
-                this.GetSystemTimeAsFileTime(LPFILETIME)?;
+                this.GetSystemTimeAsFileTime(link_name.as_str(), LPFILETIME)?;
             }
             "QueryPerformanceCounter" => {
                 #[allow(non_snake_case)]