diff -udHrN -- a/pyproject.toml b/pyproject.toml
--- a/pyproject.toml	2022-06-23 13:42:21.061143600 +0200
+++ b/pyproject.toml	2023-01-12 17:06:53.853007277 +0100
@@ -79,7 +79,7 @@
 alembic = "^1.5.5"
 arrow = ">=0.17.0"
 authlib = ">=0.15.4"
-backoff = "^1.10.0"
+backoff = ">=1.10.0"
 bleach = ">=3.2.3"
 bodhi-messages = "^6.0.0"
 celery = ">=5.2.1"
@@ -101,9 +101,9 @@
 psycopg2 = "^2.8.6"
 py3dns = "^3.2.1" # Should be required by pyLibravatar https://bugs.launchpad.net/pylibravatar/+bug/1661218
 pyLibravatar = "^1.6"
-pyramid = "^1.10.5"
+pyramid = ">=1.10.5"
 pyramid-fas-openid = "^0.4.0"
-pyramid-mako = "^1.0.2"
+pyramid-mako = ">=1.0.2"
 python-bugzilla = "^3.2.0"
 PyYAML = ">=5.4.1"
 requests = "^2.25.1"