diff --git a/Project.toml b/Project.toml
index 5455ec2..5c62a6b 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,6 +1,6 @@
 name = "ITensorNetworksNext"
 uuid = "302f2e75-49f0-4526-aef7-d8ba550cb06c"
-version = "0.4.0"
+version = "0.4.1"
 authors = ["ITensor developers <support@itensor.org> and contributors"]
 
 [workspace]
@@ -23,6 +23,7 @@ NamedDimsArrays = "60cbd0c0-df58-4cb7-918c-6f5607b73fde"
 NamedGraphs = "678767b0-92e7-4007-89e4-4527a8725b19"
 SimpleTraits = "699a6c99-e7fa-54fc-8d76-47d257e15c1d"
 SplitApplyCombine = "03a91e81-4c3e-53e1-a0a4-9c0c8f19dd66"
+TensorAlgebra = "68bd88dc-f39d-4e12-b2ca-f046b68fcc6a"
 TermInterface = "8ea1fca8-c5ef-4a55-8b96-4e9afe9c9a3c"
 TypeParameterAccessors = "7e5a90cf-f82e-492e-a09b-e3e26432c138"
 WrappedUnions = "325db55a-9c6c-5b90-b1a2-ec87e7a38c44"
@@ -46,10 +47,11 @@ FunctionImplementations = "0.4.1"
 Graphs = "1.13.1"
 LinearAlgebra = "1.10"
 MacroTools = "0.5.16"
-NamedDimsArrays = "0.14.3"
+NamedDimsArrays = "0.14.3, 0.15"
 NamedGraphs = "0.11"
 SimpleTraits = "0.9.5"
 SplitApplyCombine = "1.2.3"
+TensorAlgebra = "0.9.2"
 TensorOperations = "5.3.1"
 TermInterface = "2"
 TypeParameterAccessors = "0.4.4"
diff --git a/src/ITensorNetworksNext.jl b/src/ITensorNetworksNext.jl
index dd7dc50..0b2b898 100644
--- a/src/ITensorNetworksNext.jl
+++ b/src/ITensorNetworksNext.jl
@@ -1,5 +1,11 @@
 module ITensorNetworksNext
 
+# Imported as a name only so that the `[compat] TensorAlgebra = "0.9.2"` floor
+# (needed for a `bipermutedimsopadd!` fix in `TensorAlgebra` 0.9.2 that affects
+# `NamedDimsArrays`-mediated tensor multiplication) isn't reported as a stale
+# dependency by Aqua.
+using TensorAlgebra: TensorAlgebra
+
 include("AlgorithmsInterfaceExtensions/AlgorithmsInterfaceExtensions.jl")
 include("LazyNamedDimsArrays/LazyNamedDimsArrays.jl")
 include("abstracttensornetwork.jl")
diff --git a/test/Project.toml b/test/Project.toml
index 4bcd159..23f760a 100644
--- a/test/Project.toml
+++ b/test/Project.toml
@@ -35,7 +35,7 @@ Graphs = "1.13.1"
 ITensorBase = "0.5"
 ITensorNetworksNext = "0.4"
 ITensorPkgSkeleton = "0.3.42"
-NamedDimsArrays = "0.14"
+NamedDimsArrays = "0.14, 0.15"
 NamedGraphs = "0.11"
 QuadGK = "2.11.2"
 SafeTestsets = "0.1"