diff --git a/T/Tullio/Compat.toml b/T/Tullio/Compat.toml
index fe5fb700b38368b..d0b3d4b9c53ba56 100644
--- a/T/Tullio/Compat.toml
+++ b/T/Tullio/Compat.toml
@@ -1,4 +1,10 @@
 [0]
 DiffRules = "1"
 Requires = "1"
+
+["0-0.2"]
 julia = "1.3.0-1"
+
+["0.3-0"]
+ChainRulesCore = "0.10"
+julia = "1.5.0-1"
diff --git a/T/Tullio/Deps.toml b/T/Tullio/Deps.toml
index 804f6cfeb530e68..db0467cf8b62b4f 100644
--- a/T/Tullio/Deps.toml
+++ b/T/Tullio/Deps.toml
@@ -2,3 +2,6 @@
 DiffRules = "b552c78f-8df3-52c6-915a-8e097449b14b"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 Requires = "ae029012-a4dd-5104-9daa-d747884805df"
+
+["0.3-0"]
+ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
diff --git a/T/Tullio/Versions.toml b/T/Tullio/Versions.toml
index cfb2b6c64834b07..2e7e5bb4b3fa61f 100644
--- a/T/Tullio/Versions.toml
+++ b/T/Tullio/Versions.toml
@@ -54,3 +54,6 @@ git-tree-sha1 = "4ecc3cd0744b6e4c68a4e612bfa42290dfbf7d61"
 
 ["0.2.14"]
 git-tree-sha1 = "7201bbb4c138c18bf14511c4cc8daeac6a52c148"
+
+["0.3.0"]
+git-tree-sha1 = "15e50b2c24b1d472f1480f5eeeefb2c66901927a"