diff --git a/ChangeLog.md b/ChangeLog.md
--- a/ChangeLog.md
+++ b/ChangeLog.md
@@ -1,5 +1,10 @@
 # Revision history for warp-quic
 
+## 0.0.4
+
+* Adjusted code to fit new range of dependency constraints. [#1043](https://github.com/yesodweb/wai/pull/1043)
+    * Accept lower versions of `http3` and `tls`
+
 ## 0.0.3
 
 * Using http3 v0.1.
diff --git a/Network/Wai/Handler/WarpQUIC.hs b/Network/Wai/Handler/WarpQUIC.hs
--- a/Network/Wai/Handler/WarpQUIC.hs
+++ b/Network/Wai/Handler/WarpQUIC.hs
@@ -1,3 +1,4 @@
+{-# LANGUAGE CPP #-}
 {-# LANGUAGE OverloadedStrings #-}
 
 -- | WAI handler for HTTP/3 based on QUIC.
@@ -52,11 +53,15 @@
                 }
         pread = pReadMaker ii
         timmgr = timeoutManager ii
+#if !MIN_VERSION_http3(0,1,0)
+        conf = H3.Config H3.defaultHooks pread timmgr
+#else
         conf =
             H3.defaultConfig
                 { H3.confPositionReadMaker = pread
                 , H3.confTimeoutManager = timmgr
                 }
+#endif
     case malpn of
         Nothing -> return ()
         Just appProto -> do
diff --git a/warp-quic.cabal b/warp-quic.cabal
--- a/warp-quic.cabal
+++ b/warp-quic.cabal
@@ -1,6 +1,6 @@
 cabal-version:      >=1.10
 name:               warp-quic
-version:            0.0.3
+version:            0.0.4
 license:            BSD3
 license-file:       LICENSE
 maintainer:         Kazu Yamamoto <kazu@iij.ad.jp>
@@ -19,10 +19,10 @@
     build-depends:
         base >=4.13 && <5,
         bytestring,
-        http3 >=0.1 && <0.2,
+        http3 <0.2,
         network,
-        quic >=0.2 && <0.3,
-        tls >=1.7,
+        quic >=0.2 && <0.4,
+        tls >=0.8 && < 3,
         wai,
         warp >=3.4.4