diff --git a/cardano-api-classy/cardano-api-classy.cabal b/cardano-api-classy/cardano-api-classy.cabal
index ac54aea9259..8fe04aded20 100644
--- a/cardano-api-classy/cardano-api-classy.cabal
+++ b/cardano-api-classy/cardano-api-classy.cabal
@@ -50,9 +50,11 @@ library
     Cardano.Api.Class.ToAlonzoScript
     Cardano.Api.Classy
 
+  -- NOTE: We only use an upper bound on cardano-api and have the other
+  -- dependencies on cardano-ledger* follow.
   build-depends:
     , base                   >=4.16
-    , cardano-api            >=8.42.0 && <8.43
-    , cardano-ledger-alonzo  >=1.6    && <1.7
-    , cardano-ledger-conway  >=1.12   && <1.13
-    , cardano-ledger-core    >=1.10   && <1.11
+    , cardano-api            ^>=8.44
+    , cardano-ledger-alonzo
+    , cardano-ledger-conway
+    , cardano-ledger-core
diff --git a/hydra-cardano-api/hydra-cardano-api.cabal b/hydra-cardano-api/hydra-cardano-api.cabal
index 12e77498587..18e008c09e3 100644
--- a/hydra-cardano-api/hydra-cardano-api.cabal
+++ b/hydra-cardano-api/hydra-cardano-api.cabal
@@ -75,30 +75,30 @@ library
     Hydra.Cardano.Api.VerificationKey
     Hydra.Cardano.Api.Witness
 
-  -- NOTE: We use very narrow bounds on cardano libraries as they tend to break
-  -- their interfaces often.
+  -- NOTE: We only use an upper bound on cardano-api and have the other
+  -- dependencies on cardano-ledger* and plutus-ledger-api follow.
   build-depends:
     , aeson                   >=2
     , base                    >=4.16
     , base16-bytestring
     , bytestring
-    , cardano-api             >=8.42.0 && <8.43
+    , cardano-api             ^>=8.44
     , cardano-api-classy
-    , cardano-binary          >=1.7.0  && <1.8
-    , cardano-crypto-class    >=2.1.1  && <2.2
-    , cardano-ledger-allegra  >=1.3    && <1.4
-    , cardano-ledger-alonzo   >=1.6    && <1.7
-    , cardano-ledger-api      >=1.8    && <1.9
-    , cardano-ledger-babbage  >=1.6    && <1.7
-    , cardano-ledger-binary   >=1.3    && <1.4
-    , cardano-ledger-byron    >=1.0.0  && <1.1
-    , cardano-ledger-conway   >=1.12   && <1.13
-    , cardano-ledger-core     >=1.10   && <1.11
-    , cardano-ledger-mary     >=1.5    && <1.6
-    , cardano-ledger-shelley  >=1.9    && <1.10
+    , cardano-binary
+    , cardano-crypto-class
+    , cardano-ledger-allegra
+    , cardano-ledger-alonzo
+    , cardano-ledger-api
+    , cardano-ledger-babbage
+    , cardano-ledger-binary
+    , cardano-ledger-byron
+    , cardano-ledger-conway
+    , cardano-ledger-core
+    , cardano-ledger-mary
+    , cardano-ledger-shelley
     , containers
     , lens
-    , plutus-ledger-api       >=1.21   && <1.22
+    , plutus-ledger-api
     , QuickCheck
     , serialise
     , text                    >=2
diff --git a/hydra-node/hydra-node.cabal b/hydra-node/hydra-node.cabal
index fdf98cc32d2..83abf10e6b1 100644
--- a/hydra-node/hydra-node.cabal
+++ b/hydra-node/hydra-node.cabal
@@ -154,8 +154,8 @@ library
     , ouroboros-network-api                                     >=0.1.0.0
     , ouroboros-network-framework                               >=0.3.0.0
     , ouroboros-network-protocols                               >=0.3.0.0
-    , plutus-core                                               >=1.21    && <1.22
-    , plutus-ledger-api                                         >=1.21    && <1.22
+    , plutus-core                                               >=1.21
+    , plutus-ledger-api                                         >=1.21
     , prometheus
     , QuickCheck
     , quickcheck-instances
diff --git a/hydra-plutus/hydra-plutus.cabal b/hydra-plutus/hydra-plutus.cabal
index 642579b44eb..abb8d3f25a5 100644
--- a/hydra-plutus/hydra-plutus.cabal
+++ b/hydra-plutus/hydra-plutus.cabal
@@ -69,10 +69,10 @@ library
     , hydra-cardano-api
     , hydra-plutus-extras
     , hydra-prelude
-    , plutus-core          >=1.21 && <1.22
-    , plutus-ledger-api    >=1.21 && <1.22
-    , plutus-tx            >=1.21 && <1.22
-    , plutus-tx-plugin     >=1.21 && <1.22
+    , plutus-core          >=1.21
+    , plutus-ledger-api    >=1.21
+    , plutus-tx            >=1.21
+    , plutus-tx-plugin     >=1.21
     , QuickCheck
     , serialise
     , template-haskell