diff --git a/T/TuringBenchmarking/Compat.toml b/T/TuringBenchmarking/Compat.toml
index 08c364c8c0cefb5..fadeb50c6b337d8 100644
--- a/T/TuringBenchmarking/Compat.toml
+++ b/T/TuringBenchmarking/Compat.toml
@@ -21,9 +21,14 @@ Turing = ["0.23-0.24", "0.29"]
 ["0.2-0"]
 Requires = "1"
 
-["0.3-0"]
+["0.3"]
 DynamicPPL = "0.23"
 Turing = "0.29"
 
 ["0.3.2-0"]
 PrettyTables = "2"
+
+["0.4-0"]
+ADTypes = "0.2"
+DynamicPPL = "0.23-0.24"
+Turing = "0.30"
diff --git a/T/TuringBenchmarking/Deps.toml b/T/TuringBenchmarking/Deps.toml
index 923f89cc7192090..0abeca96987a33a 100644
--- a/T/TuringBenchmarking/Deps.toml
+++ b/T/TuringBenchmarking/Deps.toml
@@ -18,3 +18,7 @@ DynamicPPL = "366bfd00-2699-11ea-058f-f148b4cae6d8"
 ["0.3.2-0"]
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 PrettyTables = "08abe8d2-0d0c-5749-adfa-8a2ac140af0d"
+
+["0.4-0"]
+ADTypes = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
+ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
diff --git a/T/TuringBenchmarking/Versions.toml b/T/TuringBenchmarking/Versions.toml
index 32fbfdbbd4af143..d501275dffdb0e4 100644
--- a/T/TuringBenchmarking/Versions.toml
+++ b/T/TuringBenchmarking/Versions.toml
@@ -21,3 +21,6 @@ git-tree-sha1 = "288de9d59b4ffb4b0992ceabc00ac8ae540b0f26"
 
 ["0.3.4"]
 git-tree-sha1 = "25072e7d83482477a7609d0373a1cf8ae347a213"
+
+["0.4.0"]
+git-tree-sha1 = "2e6bcab77d56adf39aa7c744fd00d78a7bc81022"