diff --git a/ChangeLog.md b/ChangeLog.md
--- a/ChangeLog.md
+++ b/ChangeLog.md
@@ -1,3 +1,7 @@
+## 0.3.5.1
+
+* Also catch TLSError exceptions [#273](https://github.com/snoyberg/http-client/pull/273)
+
 ## 0.3.5
 
 * Add `newTlsManagerWith`
diff --git a/Network/HTTP/Client/TLS.hs b/Network/HTTP/Client/TLS.hs
--- a/Network/HTTP/Client/TLS.hs
+++ b/Network/HTTP/Client/TLS.hs
@@ -97,6 +97,7 @@
         let wrapper se
               | Just (_ :: IOException)          <- fromException se = se'
               | Just (_ :: TLS.TLSException)     <- fromException se = se'
+              | Just (_ :: TLS.TLSError)         <- fromException se = se'
               | Just (_ :: NC.LineTooLong)       <- fromException se = se'
 #if MIN_VERSION_connection(0,2,7)
               | Just (_ :: NC.HostNotResolved)   <- fromException se = se'
diff --git a/http-client-tls.cabal b/http-client-tls.cabal
--- a/http-client-tls.cabal
+++ b/http-client-tls.cabal
@@ -1,5 +1,5 @@
 name:                http-client-tls
-version:             0.3.5
+version:             0.3.5.1
 synopsis:            http-client backend using the connection package and tls library
 description:         Hackage documentation generation is not reliable. For up to date documentation, please see: <https://www.stackage.org/package/http-client-tls>.
 homepage:            https://github.com/snoyberg/http-client