diff --git a/pkgs/development/libraries/geos/default.nix b/pkgs/development/libraries/geos/default.nix
index 32b3155b8c56..cfcccc571818 100644
--- a/pkgs/development/libraries/geos/default.nix
+++ b/pkgs/development/libraries/geos/default.nix
@@ -6,21 +6,13 @@
 
 stdenv.mkDerivation rec {
   pname = "geos";
-  version = "3.10.2";
+  version = "3.11.0";
 
   src = fetchurl {
     url = "https://download.osgeo.org/geos/${pname}-${version}.tar.bz2";
-    sha256 = "sha256-ULvFmaw4a0wrOWLcxBHwBAph8gSq7066ciXs3Qz0VxU=";
+    sha256 = "sha256-eauMq/SqhgTRYVV7UuPk2EV1rNwNCMsJqz96rvpNhYo=";
   };
 
-  patches = [
-    # Fix paths with absolute CMAKE_INSTALL_*DIR
-    (fetchpatch {
-      url = "https://github.com/libgeos/geos/commit/11faa4db672ed61d64fd8a6f1a59114f5b5f2406.patch";
-      hash = "sha256-oAArwGq91Z93C6hBPQD0AlY8Q4Nnn6tA40HUPoZ5ftc=";
-    })
-  ];
-
   nativeBuildInputs = [ cmake ];
 
   meta = with lib; {
diff --git a/pkgs/development/python-modules/pygeos/default.nix b/pkgs/development/python-modules/pygeos/default.nix
index 57970ad2f348..c02400fd1970 100644
--- a/pkgs/development/python-modules/pygeos/default.nix
+++ b/pkgs/development/python-modules/pygeos/default.nix
@@ -17,6 +17,12 @@ buildPythonPackage rec {
     sha256 = "sha256-PEFULvZ8ZgFfRDrj5uaDUDqKIh+cJPsjgPauQq7RYAo=";
   };
 
+  patches = [
+    # Adapt https://github.com/shapely/shapely/commit/4889bd2d72ff500e51ba70d5b954241878349562,
+    # backporting to pygeos
+    ./fix-for-geos-3-11.patch
+  ];
+
   nativeBuildInputs = [
     geos # for geos-config
     cython
diff --git a/pkgs/development/python-modules/pygeos/fix-for-geos-3-11.patch b/pkgs/development/python-modules/pygeos/fix-for-geos-3-11.patch
new file mode 100644
index 000000000000..fe81c0769c18
--- /dev/null
+++ b/pkgs/development/python-modules/pygeos/fix-for-geos-3-11.patch
@@ -0,0 +1,29 @@
+From ea82dbefeb573150935eb78a6916813775512e76 Mon Sep 17 00:00:00 2001
+From: Joris Van den Bossche <jorisvandenbossche@gmail.com>
+Date: Tue, 26 Apr 2022 22:17:00 +0200
+Subject: [PATCH] TST: fix tests for GEOS main (#1357) (backported for nixpkgs)
+
+---
+ pygeos/tests/test_constructive.py | 6 +++++-
+ 1 file changed, 5 insertions(+), 1 deletion(-)
+
+diff --git a/pygeos/tests/test_constructive.py b/pygeos/tests/test_constructive.py
+index 87c0a9f..b3459d1 100644
+--- a/pygeos/tests/test_constructive.py
++++ b/pygeos/tests/test_constructive.py
+@@ -48,7 +48,11 @@ def test_no_args_array(geometry, func):
+ @pytest.mark.parametrize("geometry", all_types)
+ @pytest.mark.parametrize("func", CONSTRUCTIVE_FLOAT_ARG)
+ def test_float_arg_array(geometry, func):
+-    if func is pygeos.offset_curve and pygeos.get_type_id(geometry) not in [1, 2]:
++    if (
++        func is pygeos.offset_curve
++        and pygeos.get_type_id(geometry) not in [1, 2]
++        and pygeos.geos_version < (3, 11, 0)
++    ):
+         with pytest.raises(GEOSException, match="only accept linestrings"):
+             func([geometry, geometry], 0.0)
+         return
+-- 
+2.36.1
+
diff --git a/pkgs/development/python-modules/shapely/default.nix b/pkgs/development/python-modules/shapely/default.nix
index 49f5dcc822b6..a41381fe35bf 100644
--- a/pkgs/development/python-modules/shapely/default.nix
+++ b/pkgs/development/python-modules/shapely/default.nix
@@ -2,6 +2,7 @@
 , stdenv
 , buildPythonPackage
 , fetchPypi
+, fetchpatch
 , substituteAll
 , pythonOlder
 , geos
@@ -43,6 +44,12 @@ buildPythonPackage rec {
       libgeos_c = GEOS_LIBRARY_PATH;
       libc = lib.optionalString (!stdenv.isDarwin) "${stdenv.cc.libc}/lib/libc${stdenv.hostPlatform.extensions.sharedLibrary}.6";
     })
+    (fetchpatch {
+      name = "fix-tests-geos-3.11.patch";
+      url = "https://github.com/shapely/shapely/commit/21c8e8a7909e7fb3cce6daa5c5b8284ac927fcb0.patch";
+      includes = [ "tests/test_parallel_offset.py" ];
+      sha256 = "sha256-85c8NlmAzzfCgepe/411ug5Sq+665dFMb3ySaUt9Kew=";
+    })
  ];
 
   preCheck = ''