diff --git a/src/smallrng.rs b/src/smallrng.rs
index 84da121..f5726ab 100644
--- a/src/smallrng.rs
+++ b/src/smallrng.rs
@@ -4,7 +4,7 @@ use crate::rng::Rng;
 use crate::rng::{RangeFromRng, ValueFromRng};
 use crate::xoshiro::Xoshiro256pp;
 #[cfg(feature = "std")]
-use crate::SecureEntropy;
+use crate::DefaultEntropy;
 use crate::SplitMix;
 
 /// This is a numerically good PRNG if you need something small and fast
@@ -37,7 +37,7 @@ impl SmallRng {
     #[cfg(feature = "std")]
     #[must_use]
     pub fn new() -> Self {
-        Self(Impl::from_entropy(&mut SecureEntropy::new()))
+        Self(Impl::from_entropy(&mut DefaultEntropy::new()))
     }
 
     /// Creates a new random generator with a seed from an [EntropySource].
diff --git a/src/stdrng.rs b/src/stdrng.rs
index a87a34c..1c0f537 100644
--- a/src/stdrng.rs
+++ b/src/stdrng.rs
@@ -41,6 +41,9 @@ impl Rng for StdRng {
 impl StdRng {
     /// Creates a new random generator with a seed from a [SecureEntropy].
     /// This type of entropy source performs health tests on the system entropy source for extra security.
+    /// Note that [SecureEntropy] has a small false alarm rate, which can cause intermittent fuzz test errors
+    /// if a new [StdRng] instance is created for each fuzz test vector.
+    /// If you need to avoid this then create your instances with `from_entropy` and pass in a [DefaultEntropy] instead.
     ///
     /// returns: `StdRng`
     #[cfg(feature = "std")]
@@ -228,6 +231,11 @@ impl StdRng {
 
 #[cfg(feature = "std")]
 impl Default for StdRng {
+    /// Creates a new random generator with a seed from a [SecureEntropy].
+    /// This type of entropy source performs health tests on the system entropy source for extra security.
+    /// Note that [SecureEntropy] has a small false alarm rate, which can cause intermittent fuzz test errors
+    /// if a new [StdRng] instance is created for each fuzz test vector.
+    /// If you need to avoid this then create your instances with `from_entropy` and pass in a [DefaultEntropy] instead.
     fn default() -> Self {
         Self::new()
     }