diff --git a/README.md b/README.md
index e0d6731..2997fe3 100644
--- a/README.md
+++ b/README.md
@@ -143,10 +143,12 @@ dc = DomainConnect(
 - async revert
 
 ## CHANGELOG
-| version | date       | changes |
-| ------- | -----------| ------ |
-| 0.0.9  | 2021-04-13 | NEW FEATURE: support for openwrt (missing webbrowser module) |
-| 0.0.8  | 2020-11-09 | NEW FEATURE: Detailed information on access token request fail |
-| 0.0.7  | 2019-10-29 | Bugfix: error when setting up .app domain |
-| 0.0.6  | 2019-07-05 | UPDATE: moved from pycrypto to cryptography (due to know security issues) |
-| 0.0.5  | 2019-03-12 | NEW FEATURE: url signing capability added |
+| version | date       | changes                                                                         |
+|---------|------------|---------------------------------------------------------------------------------|
+| 0.0.11  | 2024-02-18 | DEPENDENCIES: updated cryptography to the highest one for newer python versions |
+| 0.0.10  | 2024-02-18 | DEPENDENCIES: updated cryptography for newer python versions                    |
+| 0.0.9   | 2021-04-13 | NEW FEATURE: support for openwrt (missing webbrowser module)                    |
+| 0.0.8   | 2020-11-09 | NEW FEATURE: Detailed information on access token request fail                  |
+| 0.0.7   | 2019-10-29 | Bugfix: error when setting up .app domain                                       |
+| 0.0.6   | 2019-07-05 | UPDATE: moved from pycrypto to cryptography (due to know security issues)       |
+| 0.0.5   | 2019-03-12 | NEW FEATURE: url signing capability added                                       |
diff --git a/requirements-test.txt b/requirements-test.txt
index c65edc7..2b5a098 100644
--- a/requirements-test.txt
+++ b/requirements-test.txt
@@ -1,6 +1,8 @@
 cffi>=1.14.5
-cryptography==3.3.2; python_version == '2.7'
-cryptography==39.0.1; python_version > '2.7'
+cryptography>=3.3.2; python_version == '2.7'
+cryptography>=39.0.1; python_version > '2.7' and python_version < '3.6'
+cryptography>=40.0.2; python_version >= '3.6' and python_version < '3.7'
+cryptography>=42.0.0; python_version >= '3.7'
 dnspython>=1.16.0
 enum34>=1.1.10
 future>=0.18.3
diff --git a/requirements.txt b/requirements.txt
index 50bca12..d4ace7b 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,6 +1,8 @@
 cffi==1.14.5
 cryptography==3.3.2; python_version == '2.7'
-cryptography==39.0.1; python_version > '2.7'
+cryptography==39.0.1; python_version > '2.7' and python_version < '3.6'
+cryptography==40.0.2; python_version >= '3.6' and python_version < '3.7'
+cryptography==42.0.3; python_version >= '3.7'
 dnspython==1.16.0
 enum34==1.1.10
 future==0.18.3
diff --git a/setup.py b/setup.py
index 3ca0bfb..4805f24 100644
--- a/setup.py
+++ b/setup.py
@@ -34,8 +34,10 @@
           'publicsuffixlist >= 0.7.7',
           'six >= 1.12.0',
           'future >= 0.18.3',
-          'cryptography==3.3.2; python_version == "2.7"',
-          'cryptography==39.0.1; python_version > "2.7"'
+          'cryptography>=3.3.2; python_version == "2.7"',
+          'cryptography>=39.0.1; python_version > "2.7" and python_version < "3.6"',
+          'cryptography>=40.0.2; python_version >= "3.6" and python_version < "3.7"',
+          'cryptography>=42.0.0; python_version >= "3.7"',
       ],
       tests_require=test_deps,
       extras_require={