diff --git a/Project.toml b/Project.toml
index 145a1f2..538f627 100644
--- a/Project.toml
+++ b/Project.toml
@@ -13,10 +13,12 @@ Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
 [weakdeps]
 Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
 EnzymeCore = "f151be2c-9106-41f4-ab19-57ee4f262869"
+Reactant = "3c362404-f566-11ee-1572-e11a4b42c853"
 
 [extensions]
 OptimisersAdaptExt = ["Adapt"]
 OptimisersEnzymeCoreExt = "EnzymeCore"
+OptimisersReactantExt = "Reactant"
 
 [compat]
 Adapt = "4"
diff --git a/ext/OptimisersReactantExt.jl b/ext/OptimisersReactantExt.jl
new file mode 100644
index 0000000..ee764c8
--- /dev/null
+++ b/ext/OptimisersReactantExt.jl
@@ -0,0 +1,8 @@
+module OptimisersReactantExt
+
+import Optimisers
+import Reactant
+
+Optimisers._eps(T::Type{<:Reactant.TracedRNumber{<:AbstractFloat}}, e) = T(e)
+
+end