diff --git a/pallas-traverse/src/tx.rs b/pallas-traverse/src/tx.rs
index c3998c4..129b8a9 100644
--- a/pallas-traverse/src/tx.rs
+++ b/pallas-traverse/src/tx.rs
@@ -64,13 +64,17 @@ impl<'b> MultiEraTx<'b> {
     /// Try decode a transaction via every era's encoding format, starting with
     /// the most recent and returning on first success, or None if none are
     /// successful
+    ///
+    /// NOTE: Until Conway is officially released, this method favors Babbage
+    /// decoding over Conway decoding. This means that we'll attempt to
+    /// decode using Babbage first even if Conway is newer.
     pub fn decode(cbor: &'b [u8]) -> Result<Self, Error> {
         if let Ok(tx) = minicbor::decode(cbor) {
-            return Ok(MultiEraTx::Conway(Box::new(Cow::Owned(tx))));
+            return Ok(MultiEraTx::Babbage(Box::new(Cow::Owned(tx))));
         }
 
         if let Ok(tx) = minicbor::decode(cbor) {
-            return Ok(MultiEraTx::Babbage(Box::new(Cow::Owned(tx))));
+            return Ok(MultiEraTx::Conway(Box::new(Cow::Owned(tx))));
         }
 
         if let Ok(tx) = minicbor::decode(cbor) {