diff --git a/library/std/src/io/mod.rs b/library/std/src/io/mod.rs
index 6579b6887aaae..314cbb45d49e2 100644
--- a/library/std/src/io/mod.rs
+++ b/library/std/src/io/mod.rs
@@ -2989,11 +2989,11 @@ impl<T: Read> Read for Take<T> {
             return Ok(());
         }
 
-        if self.limit <= buf.capacity() as u64 {
-            // if we just use an as cast to convert, limit may wrap around on a 32 bit target
-            let limit = cmp::min(self.limit, usize::MAX as u64) as usize;
+        if self.limit < buf.capacity() as u64 {
+            // The condition above guarantees that `self.limit` fits in `usize`.
+            let limit = self.limit as usize;
 
-            let extra_init = cmp::min(limit as usize, buf.init_ref().len());
+            let extra_init = cmp::min(limit, buf.init_ref().len());
 
             // SAFETY: no uninit data is written to ibuf
             let ibuf = unsafe { &mut buf.as_mut()[..limit] };