diff --git a/pyproject.toml b/pyproject.toml
index e9d792bc9..9e5c41a0c 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -10,9 +10,9 @@ readme = "README.md"
 python = "^3.8"
 openai = "^0.28.0 || ^0.27.0"
 python-dotenv = ">=0.2.0"
-tiktoken = "^0.4.0"
-importlib-metadata = "^6.8.0"
-tokenizers = "^0.14.0"
+tiktoken = ">=0.4.0"
+importlib-metadata = ">=6.8.0"
+tokenizers = ">=0.14.0"
 
 [build-system]
 requires = ["poetry-core"]