diff --git a/pkgs/development/python-modules/flit-core/default.nix b/pkgs/development/python-modules/flit-core/default.nix
index 7cb9ed2c6c451..35bba06f1f36e 100644
--- a/pkgs/development/python-modules/flit-core/default.nix
+++ b/pkgs/development/python-modules/flit-core/default.nix
@@ -2,12 +2,11 @@
 , buildPythonPackage
 , callPackage
 , flit
-, toml
 }:
 
 buildPythonPackage rec {
   pname = "flit-core";
-  version = "3.2.0";
+  version = "3.6.0";
   format = "pyproject";
 
   outputs = [
@@ -21,10 +20,6 @@ buildPythonPackage rec {
     cd flit_core
   '';
 
-  propagatedBuildInputs = [
-    toml
-  ];
-
   postInstall = ''
     mkdir $testsout
     cp -R ../tests $testsout/tests
diff --git a/pkgs/development/python-modules/flit/default.nix b/pkgs/development/python-modules/flit/default.nix
index 0a6d1ba3158a7..830ed2702b898 100644
--- a/pkgs/development/python-modules/flit/default.nix
+++ b/pkgs/development/python-modules/flit/default.nix
@@ -3,13 +3,12 @@
 , fetchFromGitHub
 , docutils
 , requests
-, requests_download
-, zipfile36
-, pythonOlder
 , pytest
 , testpath
 , responses
 , flit-core
+, tomli
+, tomli-w
 }:
 
 # Flit is actually an application to build universal wheels.
@@ -19,14 +18,14 @@
 
 buildPythonPackage rec {
   pname = "flit";
-  version = "3.2.0";
+  version = "3.6.0";
   format = "pyproject";
 
   src = fetchFromGitHub {
     owner = "takluyver";
     repo = "flit";
     rev = version;
-    sha256 = "sha256-zN+/oAyXBo6Ho7n/xhOQ2mjtPGKA1anCvl3sVf7t+Do=";
+    sha256 = "sha256-D3q/1g6njrrmizooGmzNd9g2nKs00dMGj9jrrv3Y6HQ=";
   };
 
   nativeBuildInputs = [
@@ -36,10 +35,9 @@ buildPythonPackage rec {
   propagatedBuildInputs = [
     docutils
     requests
-    requests_download
     flit-core
-  ] ++ lib.optionals (pythonOlder "3.6") [
-    zipfile36
+    tomli
+    tomli-w
   ];
 
   checkInputs = [ pytest testpath responses ];