diff --git a/Project.toml b/Project.toml
index a08b93b9..2f877280 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,6 +1,6 @@
 name = "Unitful"
 uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
-version = "1.13.1"
+version = "1.14.0"
 
 [deps]
 ConstructionBase = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
@@ -13,11 +13,18 @@ Aqua = "0.6"
 ConstructionBase = "1"
 julia = "1"
 
+[extensions]
+InverseFunctionsUnitfulExt = "InverseFunctions"
+
 [extras]
 Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
+InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [targets]
-test = ["Aqua", "LinearAlgebra", "Test", "Random"]
+test = ["Aqua", "InverseFunctions", "LinearAlgebra", "Test", "Random"]
+
+[weakdeps]
+InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"
diff --git a/ext/InverseFunctionsUnitfulExt.jl b/ext/InverseFunctionsUnitfulExt.jl
new file mode 100644
index 00000000..1d73e922
--- /dev/null
+++ b/ext/InverseFunctionsUnitfulExt.jl
@@ -0,0 +1,8 @@
+module InverseFunctionsUnitfulExt
+using Unitful
+import InverseFunctions: inverse
+
+# `true` plays the role of 1, but doesn't promote unnecessary
+inverse(f::Base.Fix1{typeof(ustrip), <:Unitful.Units}) = Base.Fix1(*, true*f.x)
+
+end
diff --git a/test/runtests.jl b/test/runtests.jl
index 00eec576..05eeb0af 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -1,5 +1,5 @@
 using Unitful
-using Test, LinearAlgebra, Random, ConstructionBase
+using Test, LinearAlgebra, Random, ConstructionBase, InverseFunctions
 import Unitful: DimensionError, AffineError
 import Unitful: LogScaled, LogInfo, Level, Gain, MixedUnits, Decibel
 import Unitful: FreeUnits, ContextUnits, FixedUnits, AffineUnits, AffineQuantity
@@ -85,6 +85,11 @@ const colon = Base.:(:)
     @test ConstructionBase.constructorof(typeof(1.0m))(2) === 2m
 end
 
+VERSION >= v"1.9-" && @testset "inverse" begin
+    InverseFunctions.test_inverse(Base.Fix1(ustrip, m), 2m)
+    InverseFunctions.test_inverse(Base.Fix1(ustrip, m), 2mm)
+end
+
 @testset "Types" begin
     @test Base.complex(Quantity{Float64,NoDims,NoUnits}) ==
         Quantity{Complex{Float64},NoDims,NoUnits}