diff --git a/README.md b/README.md
index 55774a08..70dfc0c6 100644
--- a/README.md
+++ b/README.md
@@ -216,12 +216,12 @@ requirements:
   host:
     - pip
     - poetry-core >=1.0.0
-    - python 3.10
+    - python 3.10.*
   run:
     # sync with normalized deps from poetry-generated setup.py
     - markdown-it-py >=2.2.0
     - pygments >=2.13.0,<3.0.0
-    - python 3.10
+    - python 3.10.*
     - typing_extensions >=4.0.0,<5.0.0
 
 tests:
diff --git a/docs/index.md b/docs/index.md
index daaf76eb..aa0f8764 100644
--- a/docs/index.md
+++ b/docs/index.md
@@ -238,12 +238,12 @@ requirements:
   host:
     - pip
     - poetry-core >=1.0.0
-    - python 3.10
+    - python 3.10.*
   run:
     # sync with normalized deps from poetry-generated setup.py
     - markdown-it-py >=2.2.0
     - pygments >=2.13.0,<3.0.0
-    - python 3.10
+    - python 3.10.*
     - typing_extensions >=4.0.0,<5.0.0
 
 tests:
diff --git a/examples/rich/recipe.yaml b/examples/rich/recipe.yaml
index 1832f046..533508d5 100644
--- a/examples/rich/recipe.yaml
+++ b/examples/rich/recipe.yaml
@@ -23,12 +23,12 @@ requirements:
   host:
     - pip
     - poetry-core >=1.0.0
-    - python 3.10
+    - python 3.10.*
   run:
     # sync with normalized deps from poetry-generated setup.py
     - markdown-it-py >=2.2.0
     - pygments >=2.13.0,<3.0.0
-    - python 3.10
+    - python 3.10.*
     - typing_extensions >=4.0.0,<5.0.0
 
 tests:
diff --git a/test-data/recipes/package-content-tests/rich-recipe.yaml b/test-data/recipes/package-content-tests/rich-recipe.yaml
index 97f26af8..1052396b 100644
--- a/test-data/recipes/package-content-tests/rich-recipe.yaml
+++ b/test-data/recipes/package-content-tests/rich-recipe.yaml
@@ -21,12 +21,12 @@ requirements:
   host:
     - pip
     - poetry-core >=1.0.0
-    - python 3.10
+    - python 3.10.*
   run:
     # sync with normalized deps from poetry-generated setup.py
     - markdown-it-py >=2.2.0
     - pygments >=2.13.0,<3.0.0
-    - python 3.10
+    - python 3.10.*
     - typing_extensions >=4.0.0,<5.0.0
 
 tests:
diff --git a/test-data/recipes/rich/recipe.yaml b/test-data/recipes/rich/recipe.yaml
index 406e4958..4c494aa2 100644
--- a/test-data/recipes/rich/recipe.yaml
+++ b/test-data/recipes/rich/recipe.yaml
@@ -21,12 +21,12 @@ requirements:
   host:
     - pip
     - poetry-core >=1.0.0
-    - python 3.10
+    - python 3.10.*
   run:
     # sync with normalized deps from poetry-generated setup.py
     - markdown-it-py >=2.2.0
     - pygments >=2.13.0,<3.0.0
-    - python 3.10
+    - python 3.10.*
     - typing_extensions >=4.0.0,<5.0.0
 
 tests:
diff --git a/test-data/recipes/toml/recipe.yaml b/test-data/recipes/toml/recipe.yaml
index a54cd460..786b44e5 100644
--- a/test-data/recipes/toml/recipe.yaml
+++ b/test-data/recipes/toml/recipe.yaml
@@ -18,9 +18,9 @@ build:
 
 requirements:
   host:
-    - python 3.12.1
-    - pip 23.3.2
-    - setuptools 68
+    - python 3.12.1.*
+    - pip 23.3.2.*
+    - setuptools 68.*
   run:
     - python