diff --git a/lib/NonlinearSolveBase/Project.toml b/lib/NonlinearSolveBase/Project.toml
index b2fd9ebf1..4d425d5e7 100644
--- a/lib/NonlinearSolveBase/Project.toml
+++ b/lib/NonlinearSolveBase/Project.toml
@@ -1,6 +1,6 @@
 name = "NonlinearSolveBase"
 uuid = "be0214bd-f91f-a760-ac4e-3421ce2b2da0"
-version = "2.31.3"
+version = "2.31.4"
 authors = ["Avik Pal <avikpal@mit.edu> and contributors"]
 
 [deps]
@@ -86,7 +86,7 @@ LinearSolve = "3.48"
 LogExpFunctions = "0.3.29, 1"
 Markdown = "1.10"
 MaybeInplace = "0.1.4"
-Mooncake = "0.4, 0.5"
+Mooncake = "0.5.36"
 PreallocationTools = "1.1.2"
 PrecompileTools = "1.2"
 Preferences = "1.4"
diff --git a/test/Adjoint/Project.toml b/test/Adjoint/Project.toml
index cd20258d6..aa584871e 100644
--- a/test/Adjoint/Project.toml
+++ b/test/Adjoint/Project.toml
@@ -31,7 +31,7 @@ SimpleNonlinearSolve = {path = "../../lib/SimpleNonlinearSolve"}
 BracketingNonlinearSolve = "1.6"
 Enzyme = "0.13"
 ForwardDiff = "1"
-Mooncake = "0.4, 0.5"
+Mooncake = "0.5.36"
 NonlinearSolve = "4.19"
 NonlinearSolveBase = "2.20"
 NonlinearSolveFirstOrder = "2"