diff --git a/clippy_lints/src/methods/drain_collect.rs b/clippy_lints/src/methods/drain_collect.rs
index 10360b4817b..cbf713a3b17 100644
--- a/clippy_lints/src/methods/drain_collect.rs
+++ b/clippy_lints/src/methods/drain_collect.rs
@@ -1,8 +1,8 @@
 use crate::methods::DRAIN_COLLECT;
 use clippy_utils::diagnostics::span_lint_and_sugg;
-use clippy_utils::is_range_full;
 use clippy_utils::source::snippet;
 use clippy_utils::ty::is_type_lang_item;
+use clippy_utils::{is_range_full, std_or_core};
 use rustc_errors::Applicability;
 use rustc_hir::{Expr, ExprKind, LangItem, Path, QPath};
 use rustc_lint::LateContext;
@@ -58,12 +58,13 @@ pub(super) fn check(cx: &LateContext<'_>, args: &[Expr<'_>], expr: &Expr<'_>, re
             .then_some("Vec")
             .or_else(|| check_string(cx, args, expr_ty, recv_ty_no_refs, recv_path).then_some("String"))
             .or_else(|| check_collections(cx, expr_ty, recv_ty_no_refs))
+        && let Some(exec_context) = std_or_core(cx)
     {
         let recv = snippet(cx, recv.span, "<expr>");
         let sugg = if let ty::Ref(..) = recv_ty.kind() {
-            format!("std::mem::take({recv})")
+            format!("{exec_context}::mem::take({recv})")
         } else {
-            format!("std::mem::take(&mut {recv})")
+            format!("{exec_context}::mem::take(&mut {recv})")
         };
 
         span_lint_and_sugg(
diff --git a/tests/ui/drain_collect_nostd.fixed b/tests/ui/drain_collect_nostd.fixed
new file mode 100644
index 00000000000..a4ab2956f2a
--- /dev/null
+++ b/tests/ui/drain_collect_nostd.fixed
@@ -0,0 +1,8 @@
+#![warn(clippy::drain_collect)]
+#![no_std]
+extern crate alloc;
+use alloc::vec::Vec;
+
+fn remove_all(v: &mut Vec<i32>) -> Vec<i32> {
+    core::mem::take(v)
+}
diff --git a/tests/ui/drain_collect_nostd.rs b/tests/ui/drain_collect_nostd.rs
new file mode 100644
index 00000000000..a8be1ce6bbd
--- /dev/null
+++ b/tests/ui/drain_collect_nostd.rs
@@ -0,0 +1,8 @@
+#![warn(clippy::drain_collect)]
+#![no_std]
+extern crate alloc;
+use alloc::vec::Vec;
+
+fn remove_all(v: &mut Vec<i32>) -> Vec<i32> {
+    v.drain(..).collect()
+}
diff --git a/tests/ui/drain_collect_nostd.stderr b/tests/ui/drain_collect_nostd.stderr
new file mode 100644
index 00000000000..91b38932fee
--- /dev/null
+++ b/tests/ui/drain_collect_nostd.stderr
@@ -0,0 +1,11 @@
+error: you seem to be trying to move all elements into a new `Vec`
+  --> tests/ui/drain_collect_nostd.rs:7:5
+   |
+LL |     v.drain(..).collect()
+   |     ^^^^^^^^^^^^^^^^^^^^^ help: consider using `mem::take`: `core::mem::take(v)`
+   |
+   = note: `-D clippy::drain-collect` implied by `-D warnings`
+   = help: to override `-D warnings` add `#[allow(clippy::drain_collect)]`
+
+error: aborting due to 1 previous error
+