diff --git a/pyproject.toml b/pyproject.toml
index 06d52bb..b8539c2 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -21,9 +21,16 @@ classifiers = [
 ]
 version = "0"
 dependencies = [
-    "tenacity",
-    "sqlalchemy[asyncio]",
-    "asyncpg",
+    "tenacity>=8.4.1",
+    # 2.0.31 is the first release that tolerates the __static_attributes__ and __firstlineno__
+    # attributes Python 3.13 added; below it SQLAlchemy's TypingOnly check fails at import.
+    "sqlalchemy[asyncio]>=2.0.18; python_version < '3.13'",
+    "sqlalchemy[asyncio]>=2.0.31; python_version >= '3.13'",
+    # asyncpg declares requires-python >=3.8 throughout but ships no cp313 wheel before 0.30 and no
+    # cp314 wheel before 0.31, so a resolver picks an sdist that cannot build rather than conflicting.
+    "asyncpg>=0.28; python_version < '3.13'",
+    "asyncpg>=0.30; python_version == '3.13'",
+    "asyncpg>=0.31; python_version >= '3.14'",
 ]
 
 [project.urls]