diff --git a/T/TaylorIntegration/Compat.toml b/T/TaylorIntegration/Compat.toml
index 99a435347c81b36..09009c48397b620 100644
--- a/T/TaylorIntegration/Compat.toml
+++ b/T/TaylorIntegration/Compat.toml
@@ -23,7 +23,7 @@ TaylorSeries = "0.14"
 ["0.12-0.14.6"]
 TaylorSeries = "0.14-0.15"
 
-["0.13-0"]
+["0.13-0.16.1"]
 julia = "1.6.0-1"
 
 ["0.14.6-0"]
@@ -45,6 +45,9 @@ Requires = "1"
 ["0.15.3-0"]
 TaylorSeries = "0.18"
 
+["0.16.2-0"]
+julia = "1.10.0-1"
+
 ["0.5"]
 DiffEqBase = "5.0.0-6"
 
diff --git a/T/TaylorIntegration/Versions.toml b/T/TaylorIntegration/Versions.toml
index 644f45e427b44ec..cf513a391e965e4 100644
--- a/T/TaylorIntegration/Versions.toml
+++ b/T/TaylorIntegration/Versions.toml
@@ -120,3 +120,6 @@ git-tree-sha1 = "837e618f83340f14d0ef991af6aa89fc5322168d"
 
 ["0.16.1"]
 git-tree-sha1 = "08ce5076d5db8ba17bb9447fca00c19e4a5e7b93"
+
+["0.16.2"]
+git-tree-sha1 = "a93bed232d965372599787f3caa0a08c23b50933"