diff --git a/BroadcastChan.hs b/BroadcastChan.hs
--- a/BroadcastChan.hs
+++ b/BroadcastChan.hs
@@ -83,7 +83,8 @@
 import Control.Exception
     (SomeException(..), mask, throwIO, try, uninterruptibleMask_)
 import Control.Monad (liftM)
-import Control.Monad.IO.Unlift (MonadUnliftIO(..), UnliftIO(..))
+import Control.Monad.IO.Unlift
+    (MonadUnliftIO, UnliftIO(..), askUnliftIO, withRunInIO)
 import Data.Foldable as F (Foldable(..), foldlM, forM_)
 
 import BroadcastChan.Extra
diff --git a/BroadcastChan/Extra.hs b/BroadcastChan/Extra.hs
--- a/BroadcastChan/Extra.hs
+++ b/BroadcastChan/Extra.hs
@@ -1,5 +1,4 @@
 {-# OPTIONS_HADDOCK not-home #-}
-{-# LANGUAGE CPP #-}
 {-# LANGUAGE DeriveDataTypeable #-}
 {-# LANGUAGE NamedFieldPuns #-}
 {-# LANGUAGE ScopedTypeVariables #-}
@@ -33,9 +32,6 @@
     , runParallelWith_
     ) where
 
-#if !MIN_VERSION_base(4,8,0)
-import Control.Applicative ((<*))
-#endif
 import Control.Concurrent (ThreadId, forkFinally, mkWeakThreadId, myThreadId)
 import Control.Concurrent.MVar
 import Control.Concurrent.QSem
diff --git a/BroadcastChan/Internal.hs b/BroadcastChan/Internal.hs
--- a/BroadcastChan/Internal.hs
+++ b/BroadcastChan/Internal.hs
@@ -1,12 +1,8 @@
-{-# LANGUAGE CPP #-}
 {-# LANGUAGE DataKinds #-}
 {-# LANGUAGE KindSignatures #-}
 {-# LANGUAGE Trustworthy #-}
 module BroadcastChan.Internal where
 
-#if !MIN_VERSION_base(4,8,0)
-import Control.Applicative ((<*))
-#endif
 import Control.Concurrent.MVar
 import Control.Exception (mask_)
 import Control.Monad ((>=>))
@@ -67,19 +63,9 @@
 --      @True@ indicates the channel is both closed and empty, meaning reads
 --      will always fail.
 isClosedBChan :: MonadIO m => BroadcastChan dir a -> m Bool
-#if MIN_VERSION_base(4,7,0)
 isClosedBChan (BChan mvar) = liftIO $ do
     old_hole <- readMVar mvar
     val <- tryReadMVar old_hole
-#else
-isClosedBChan (BChan mvar) = liftIO . mask_ $ do
-    old_hole <- takeMVar mvar
-    val <- tryTakeMVar old_hole
-    case val of
-        Just x -> putMVar old_hole x
-        Nothing -> return ()
-    putMVar mvar old_hole
-#endif
     case val of
         Just Closed -> return True
         _ -> return False
diff --git a/CHANGELOG.md b/CHANGELOG.md
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,3 +1,7 @@
+0.2.1.1 [2020.03.05]
+--------------------
+* Updated imports to support `unliftio-core` 0.2.x
+
 0.2.1 [2019.11.17]
 ------------------
 * Adds `ThreadBracket`, `runParallelWith`, and `runParallelWith_` to
diff --git a/benchmarks/Channels.hs b/benchmarks/Channels.hs
--- a/benchmarks/Channels.hs
+++ b/benchmarks/Channels.hs
@@ -1,15 +1,10 @@
 {-# LANGUAGE BangPatterns #-}
-{-# LANGUAGE CPP #-}
 {-# LANGUAGE DeriveGeneric #-}
 {-# LANGUAGE RecordWildCards #-}
 import Criterion.Main
 
 import Control.Applicative ((<$>))
-#if __GLASGOW_HASKELL__ > 704
 import Control.Concurrent (setNumCapabilities)
-#else
-import GHC.Conc (setNumCapabilities)
-#endif
 import Control.Concurrent.Async
 import BroadcastChan
 import qualified BroadcastChan.Throw as Throw
diff --git a/benchmarks/Sync.hs b/benchmarks/Sync.hs
--- a/benchmarks/Sync.hs
+++ b/benchmarks/Sync.hs
@@ -1,14 +1,7 @@
 {-# LANGUAGE BangPatterns #-}
-{-# LANGUAGE CPP #-}
 import Criterion.Main
 
-#if __GLASGOW_HASKELL__ > 704
 import Control.Concurrent (forkIO, setNumCapabilities, yield)
-import GHC.Conc (getNumProcessors)
-#else
-import Control.Concurrent (forkIO, yield)
-import GHC.Conc (getNumProcessors, setNumCapabilities)
-#endif
 import Control.Concurrent.Async (async)
 import qualified Control.Concurrent.Async as Async
 import Control.Concurrent.Chan
@@ -22,6 +15,7 @@
 import Data.Atomics.Counter
 import Data.IORef
 import Data.Function ((&))
+import GHC.Conc (getNumProcessors)
 
 instance NFData (IO a) where
     rnf !_ = ()
diff --git a/broadcast-chan.cabal b/broadcast-chan.cabal
--- a/broadcast-chan.cabal
+++ b/broadcast-chan.cabal
@@ -1,5 +1,5 @@
 Name:               broadcast-chan
-Version:            0.2.1
+Version:            0.2.1.1
 
 Homepage:           https://github.com/merijn/broadcast-chan
 Bug-Reports:        https://github.com/merijn/broadcast-chan/issues
@@ -14,8 +14,8 @@
 Category:           System
 Cabal-Version:      >= 1.10
 Build-Type:         Simple
-Tested-With:        GHC == 7.8.4, GHC == 7.10.3, GHC == 8.0.2, GHC == 8.2.2,
-                    GHC == 8.4.4, GHC == 8.6.5, GHC == 8.8.1
+Tested-With:        GHC == 8.0.2, GHC == 8.2.2, GHC == 8.4.4, GHC == 8.6.5,
+                    GHC == 8.8.3, GHC == 8.10.1
 
 Extra-Source-Files: README.md
                   , CHANGELOG.md
@@ -91,8 +91,7 @@
                         BroadcastChan.Throw
   Other-Modules:        BroadcastChan.Internal
 
-  Other-Extensions:     CPP
-                        DataKinds
+  Other-Extensions:     DataKinds
                         DeriveDataTypeable
                         KindSignatures
                         NamedFieldPuns
@@ -101,9 +100,9 @@
                         Trustworthy
                         TupleSections
 
-  Build-Depends:        base >= 4.7 && < 4.14
+  Build-Depends:        base >= 4.7 && < 4.15
                ,        transformers >= 0.2 && < 0.6
-               ,        unliftio-core >= 0.1.1 && < 0.2
+               ,        unliftio-core >= 0.1.1 && < 0.3
 
 Benchmark sync
   Default-Language:     Haskell2010
@@ -115,7 +114,6 @@
   Hs-Source-Dirs:       benchmarks
 
   Other-Extensions:     BangPatterns
-                        CPP
 
   if flag(sync)
     Buildable:          True
@@ -141,7 +139,6 @@
   Hs-Source-Dirs:       benchmarks
 
   Other-Extensions:     BangPatterns
-                        CPP
                         DeriveGeneric
                         RecordWildCards
 
@@ -151,9 +148,6 @@
                ,        criterion >= 1.2 && < 1.6
                ,        deepseq >= 1.1 && < 1.5
                ,        stm >= 2.4 && < 2.6
-
-  if impl(ghc < 7.10)
-    Build-Depends:      bifunctors >= 0.1 && < 5.6
 
 Benchmark utilities
   Default-Language:     Haskell2010