diff --git a/clippy_config/src/msrvs.rs b/clippy_config/src/msrvs.rs
index 0e8215aa8e3..e17458b3310 100644
--- a/clippy_config/src/msrvs.rs
+++ b/clippy_config/src/msrvs.rs
@@ -17,7 +17,8 @@ macro_rules! msrv_aliases {
 
 // names may refer to stabilized feature flags or library items
 msrv_aliases! {
-    1,81,0  { LINT_REASONS_STABILIZATION }
+    1,83,0 { CONST_FLOAT_BITS_CONV }
+    1,81,0 { LINT_REASONS_STABILIZATION }
     1,80,0 { BOX_INTO_ITER}
     1,77,0 { C_STR_LITERALS }
     1,76,0 { PTR_FROM_REF, OPTION_RESULT_INSPECT }
diff --git a/clippy_lints/src/transmute/mod.rs b/clippy_lints/src/transmute/mod.rs
index 373bf61d8ff..da7906b1183 100644
--- a/clippy_lints/src/transmute/mod.rs
+++ b/clippy_lints/src/transmute/mod.rs
@@ -619,10 +619,10 @@ fn check_expr(&mut self, cx: &LateContext<'tcx>, e: &'tcx Expr<'_>) {
                 | transmute_ref_to_ref::check(cx, e, from_ty, to_ty, arg, const_context)
                 | transmute_ptr_to_ptr::check(cx, e, from_ty, to_ty, arg, &self.msrv)
                 | transmute_int_to_bool::check(cx, e, from_ty, to_ty, arg)
-                | transmute_int_to_float::check(cx, e, from_ty, to_ty, arg, const_context)
+                | transmute_int_to_float::check(cx, e, from_ty, to_ty, arg, const_context, &self.msrv)
                 | transmute_int_to_non_zero::check(cx, e, from_ty, to_ty, arg)
-                | transmute_float_to_int::check(cx, e, from_ty, to_ty, arg, const_context)
-                | transmute_num_to_bytes::check(cx, e, from_ty, to_ty, arg, const_context)
+                | transmute_float_to_int::check(cx, e, from_ty, to_ty, arg, const_context, &self.msrv)
+                | transmute_num_to_bytes::check(cx, e, from_ty, to_ty, arg, const_context, &self.msrv)
                 | (unsound_collection_transmute::check(cx, e, from_ty, to_ty)
                     || transmute_undefined_repr::check(cx, e, from_ty, to_ty))
                 | (eager_transmute::check(cx, e, arg, from_ty, to_ty));
diff --git a/clippy_lints/src/transmute/transmute_float_to_int.rs b/clippy_lints/src/transmute/transmute_float_to_int.rs
index ab3bb5e1062..3507eb9a124 100644
--- a/clippy_lints/src/transmute/transmute_float_to_int.rs
+++ b/clippy_lints/src/transmute/transmute_float_to_int.rs
@@ -1,4 +1,5 @@
 use super::TRANSMUTE_FLOAT_TO_INT;
+use clippy_config::msrvs::{self, Msrv};
 use clippy_utils::diagnostics::span_lint_and_then;
 use clippy_utils::sugg;
 use rustc_ast as ast;
@@ -16,9 +17,12 @@ pub(super) fn check<'tcx>(
     to_ty: Ty<'tcx>,
     mut arg: &'tcx Expr<'_>,
     const_context: bool,
+    msrv: &Msrv,
 ) -> bool {
     match (&from_ty.kind(), &to_ty.kind()) {
-        (ty::Float(float_ty), ty::Int(_) | ty::Uint(_)) if !const_context => {
+        (ty::Float(float_ty), ty::Int(_) | ty::Uint(_))
+            if !const_context || msrv.meets(msrvs::CONST_FLOAT_BITS_CONV) =>
+        {
             span_lint_and_then(
                 cx,
                 TRANSMUTE_FLOAT_TO_INT,
diff --git a/clippy_lints/src/transmute/transmute_int_to_float.rs b/clippy_lints/src/transmute/transmute_int_to_float.rs
index d51888e3097..c5c7ed6d398 100644
--- a/clippy_lints/src/transmute/transmute_int_to_float.rs
+++ b/clippy_lints/src/transmute/transmute_int_to_float.rs
@@ -1,4 +1,5 @@
 use super::TRANSMUTE_INT_TO_FLOAT;
+use clippy_config::msrvs::{self, Msrv};
 use clippy_utils::diagnostics::span_lint_and_then;
 use clippy_utils::sugg;
 use rustc_errors::Applicability;
@@ -15,9 +16,10 @@ pub(super) fn check<'tcx>(
     to_ty: Ty<'tcx>,
     arg: &'tcx Expr<'_>,
     const_context: bool,
+    msrv: &Msrv,
 ) -> bool {
     match (&from_ty.kind(), &to_ty.kind()) {
-        (ty::Int(_) | ty::Uint(_), ty::Float(_)) if !const_context => {
+        (ty::Int(_) | ty::Uint(_), ty::Float(_)) if !const_context || msrv.meets(msrvs::CONST_FLOAT_BITS_CONV) => {
             span_lint_and_then(
                 cx,
                 TRANSMUTE_INT_TO_FLOAT,
diff --git a/clippy_lints/src/transmute/transmute_num_to_bytes.rs b/clippy_lints/src/transmute/transmute_num_to_bytes.rs
index 88b0ac5a368..a94cd27c7fd 100644
--- a/clippy_lints/src/transmute/transmute_num_to_bytes.rs
+++ b/clippy_lints/src/transmute/transmute_num_to_bytes.rs
@@ -1,4 +1,5 @@
 use super::TRANSMUTE_NUM_TO_BYTES;
+use clippy_config::msrvs::{self, Msrv};
 use clippy_utils::diagnostics::span_lint_and_then;
 use clippy_utils::sugg;
 use rustc_errors::Applicability;
@@ -15,15 +16,14 @@ pub(super) fn check<'tcx>(
     to_ty: Ty<'tcx>,
     arg: &'tcx Expr<'_>,
     const_context: bool,
+    msrv: &Msrv,
 ) -> bool {
     match (&from_ty.kind(), &to_ty.kind()) {
         (ty::Int(_) | ty::Uint(_) | ty::Float(_), ty::Array(arr_ty, _)) => {
             if !matches!(arr_ty.kind(), ty::Uint(UintTy::U8)) {
                 return false;
             }
-            if matches!(from_ty.kind(), ty::Float(_)) && const_context {
-                // TODO: Remove when const_float_bits_conv is stabilized
-                // rust#72447
+            if matches!(from_ty.kind(), ty::Float(_)) && const_context && !msrv.meets(msrvs::CONST_FLOAT_BITS_CONV) {
                 return false;
             }