diff --git a/compiler/rustc_lint/src/lints.rs b/compiler/rustc_lint/src/lints.rs
index 70311a5c57653..25982a458538c 100644
--- a/compiler/rustc_lint/src/lints.rs
+++ b/compiler/rustc_lint/src/lints.rs
@@ -1496,7 +1496,7 @@ pub enum InvalidNanComparisons {
     #[diag(lint_invalid_nan_comparisons_eq_ne)]
     EqNe {
         #[subdiagnostic]
-        suggestion: InvalidNanComparisonsSuggestion,
+        suggestion: Option<InvalidNanComparisonsSuggestion>,
     },
     #[diag(lint_invalid_nan_comparisons_lt_le_gt_ge)]
     LtLeGtGe,
diff --git a/compiler/rustc_lint/src/types.rs b/compiler/rustc_lint/src/types.rs
index 24bc16af2eec5..1ba746eddebd4 100644
--- a/compiler/rustc_lint/src/types.rs
+++ b/compiler/rustc_lint/src/types.rs
@@ -572,32 +572,36 @@ fn lint_nan<'tcx>(
     }
 
     fn eq_ne(
+        cx: &LateContext<'_>,
         e: &hir::Expr<'_>,
         l: &hir::Expr<'_>,
         r: &hir::Expr<'_>,
         f: impl FnOnce(Span, Span) -> InvalidNanComparisonsSuggestion,
     ) -> InvalidNanComparisons {
-        let suggestion =
+        // FIXME(#72505): This suggestion can be restored if `f{32,64}::is_nan` is made const.
+        let suggestion = (!cx.tcx.hir().is_inside_const_context(e.hir_id)).then(|| {
             if let Some(l_span) = l.span.find_ancestor_inside(e.span) &&
-                let Some(r_span) = r.span.find_ancestor_inside(e.span) {
+                let Some(r_span) = r.span.find_ancestor_inside(e.span)
+            {
                 f(l_span, r_span)
             } else {
                 InvalidNanComparisonsSuggestion::Spanless
-            };
+            }
+        });
 
         InvalidNanComparisons::EqNe { suggestion }
     }
 
     let lint = match binop.node {
         hir::BinOpKind::Eq | hir::BinOpKind::Ne if is_nan(cx, l) => {
-            eq_ne(e, l, r, |l_span, r_span| InvalidNanComparisonsSuggestion::Spanful {
+            eq_ne(cx, e, l, r, |l_span, r_span| InvalidNanComparisonsSuggestion::Spanful {
                 nan_plus_binop: l_span.until(r_span),
                 float: r_span.shrink_to_hi(),
                 neg: (binop.node == hir::BinOpKind::Ne).then(|| r_span.shrink_to_lo()),
             })
         }
         hir::BinOpKind::Eq | hir::BinOpKind::Ne if is_nan(cx, r) => {
-            eq_ne(e, l, r, |l_span, r_span| InvalidNanComparisonsSuggestion::Spanful {
+            eq_ne(cx, e, l, r, |l_span, r_span| InvalidNanComparisonsSuggestion::Spanful {
                 nan_plus_binop: l_span.shrink_to_hi().to(r_span),
                 float: l_span.shrink_to_hi(),
                 neg: (binop.node == hir::BinOpKind::Ne).then(|| l_span.shrink_to_lo()),
diff --git a/tests/ui/lint/invalid-nan-comparison.stderr b/tests/ui/lint/invalid-nan-comparison.stderr
index 054c06d38b30b..f2d55c107ba08 100644
--- a/tests/ui/lint/invalid-nan-comparison.stderr
+++ b/tests/ui/lint/invalid-nan-comparison.stderr
@@ -5,11 +5,6 @@ LL | const TEST: bool = 5f32 == f32::NAN;
    |                    ^^^^^^^^^^^^^^^^
    |
    = note: `#[warn(invalid_nan_comparisons)]` on by default
-help: use `f32::is_nan()` or `f64::is_nan()` instead
-   |
-LL - const TEST: bool = 5f32 == f32::NAN;
-LL + const TEST: bool = 5f32.is_nan();
-   |
 
 warning: incorrect NaN comparison, NaN cannot be directly compared to itself
   --> $DIR/invalid-nan-comparison.rs:14:5