diff --git a/src/Test/Test.jl b/src/Test/Test.jl
index 2453297878..fd1f12c59b 100644
--- a/src/Test/Test.jl
+++ b/src/Test/Test.jl
@@ -11,7 +11,31 @@ import LinearAlgebra
 import MathOptInterface as MOI
 import MathOptInterface.Utilities as MOIU
 
+#=
+We made a bit of a mistake calling the `Test/Test.jl` submodule "Test" because
+it conflicts with the standard library "Test" which is imported by MOI.Test.
+
+In present (and previous) versions of Julia, this has never been a problem.
+But every module `Foo` has a self-referential global constant `Foo`:
+```julia
+julia> module Foo end
+Main.Foo
+
+julia> Foo.Foo
+Main.Foo
+```
+MOI has the problematic feature that MOI.Test.Test is not self-referential,
+and JET.jl appropriately complains with "invalid redefinition of constant
+Test."
+
+The work-around is to wrap `Test` in a module so that `MOI.Test.Test` is
+`MOI.Test`.
+=#
+module _BaseTest
 using Test
+end
+
+using ._BaseTest: @testset, @test, @test_throws, @inferred
 
 # Be wary of adding new fields to this Config struct. Always think: can it be
 # achieved a different way?
@@ -201,7 +225,9 @@ function runtests(
     warn_unsupported::Bool = false,
     exclude_tests_after::VersionNumber = v"999.0.0",
 )
-    tests = filter(n -> startswith("$n", "test_"), names(MOI.Test; all = true))
+    tests = filter(names(@__MODULE__; all = true)) do name
+        return startswith("$name", "test_")
+    end
     tests = string.(tests)
     for ex in exclude
         if ex in tests && any(t -> ex != t && occursin(ex, t), tests)
diff --git a/src/Test/test_nonlinear.jl b/src/Test/test_nonlinear.jl
index 57d2509d47..d7dacbf610 100644
--- a/src/Test/test_nonlinear.jl
+++ b/src/Test/test_nonlinear.jl
@@ -484,7 +484,7 @@ function test_nonlinear_hs071_NLPBlockDual(
     cu = MOI.add_constraint.(model, v, MOI.LessThan.(u))
     MOI.set.(model, MOI.VariablePrimalStart(), v, start)
     lb, ub = [25.0, 40.0], [Inf, 40.0]
-    evaluator = MOI.Test.HS071(true)
+    evaluator = HS071(true)
     block_data = MOI.NLPBlockData(MOI.NLPBoundsPair.(lb, ub), evaluator, true)
     MOI.set(model, MOI.NLPBlock(), block_data)
 
@@ -931,7 +931,7 @@ This is mainly for the internal purpose of checking their correctness as
 written. External solvers can exclude this test without consequence.
 """
 function test_nonlinear_HS071_internal(::MOI.ModelLike, ::Config)
-    d = MOI.Test.HS071(true, true)
+    d = HS071(true, true)
     @test MOI.objective_expr(d) == :(
         x[$(MOI.VariableIndex(1))] *
         x[$(MOI.VariableIndex(4))] *
@@ -994,7 +994,7 @@ This is mainly for the internal purpose of checking their correctness as
 written. External solvers can exclude this test without consequence.
 """
 function test_nonlinear_Feasibility_internal(::MOI.ModelLike, ::Config)
-    d = MOI.Test.FeasibilitySenseEvaluator(true)
+    d = FeasibilitySenseEvaluator(true)
     @test MOI.objective_expr(d) == :()
     @test MOI.constraint_expr(d, 1) == :(x[$(MOI.VariableIndex(1))]^2 == 1.0)
     @test_throws AssertionError MOI.constraint_expr(d, 2)
@@ -1118,7 +1118,7 @@ end
 
 function test_nonlinear_expression_hs071(
     model::MOI.ModelLike,
-    config::MOI.Test.Config{T},
+    config::Config{T},
 ) where {T}
     @requires T == Float64
     @requires _supports(config, MOI.optimize!)
@@ -1173,7 +1173,7 @@ end
 
 function test_nonlinear_expression_hs071_epigraph(
     model::MOI.ModelLike,
-    config::MOI.Test.Config{T},
+    config::Config{T},
 ) where {T}
     @requires T == Float64
     @requires _supports(config, MOI.optimize!)
@@ -1229,7 +1229,7 @@ end
 
 function test_nonlinear_expression_hs109(
     model::MOI.ModelLike,
-    config::MOI.Test.Config{T},
+    config::Config{T},
 ) where {T}
     @requires T == Float64
     @requires _supports(config, MOI.optimize!)
@@ -1296,7 +1296,7 @@ end
 
 function test_nonlinear_expression_hs110(
     model::MOI.ModelLike,
-    config::MOI.Test.Config{T},
+    config::Config{T},
 ) where {T}
     @requires T == Float64
     @requires _supports(config, MOI.optimize!)
@@ -1358,7 +1358,7 @@ end
 
 function test_nonlinear_expression_quartic(
     model::MOI.ModelLike,
-    config::MOI.Test.Config{T},
+    config::Config{T},
 ) where {T}
     @requires T == Float64
     @requires _supports(config, MOI.optimize!)
@@ -1406,7 +1406,7 @@ end
 
 function test_nonlinear_expression_overrides_objective(
     model::MOI.ModelLike,
-    config::MOI.Test.Config{T},
+    config::Config{T},
 ) where {T}
     @requires T == Float64
     @requires _supports(config, MOI.optimize!)
@@ -1457,7 +1457,7 @@ end
 
 function test_nonlinear_expression_univariate_function(
     model::MOI.ModelLike,
-    config::MOI.Test.Config{T},
+    config::Config{T},
 ) where {T}
     @requires T == Float64
     @requires _supports(config, MOI.optimize!)
@@ -1493,7 +1493,7 @@ end
 
 function test_nonlinear_expression_multivariate_function(
     model::MOI.ModelLike,
-    config::MOI.Test.Config{T},
+    config::Config{T},
 ) where {T}
     @requires T == Float64
     @requires _supports(config, MOI.optimize!)
@@ -1544,10 +1544,7 @@ end
 Tests dual solutions with `ScalarNonlinearFunction`. We use a linear program
 so that the duals are easy to compute.
 """
-function test_nonlinear_duals(
-    model::MOI.ModelLike,
-    config::MOI.Test.Config{T},
-) where {T}
+function test_nonlinear_duals(model::MOI.ModelLike, config::Config{T}) where {T}
     @requires T == Float64
     @requires _supports(config, MOI.optimize!)
     @requires _supports(config, MOI.ConstraintDual)
@@ -1676,7 +1673,7 @@ end
 
 function test_nonlinear_vector_complements(
     model::MOI.ModelLike,
-    config::MOI.Test.Config{T},
+    config::Config{T},
 ) where {T}
     @requires T == Float64
     @requires _supports(config, MOI.optimize!)
diff --git a/test/Bridges/Variable/vectorize.jl b/test/Bridges/Variable/vectorize.jl
index 8fe459a906..fc6a9bdde4 100644
--- a/test/Bridges/Variable/vectorize.jl
+++ b/test/Bridges/Variable/vectorize.jl
@@ -145,7 +145,7 @@ function test_exp3_with_add_constrained_variable_y()
 
     err = ArgumentError(
         "Variable bridge of type `$(MOI.Bridges.Variable.VectorizeBridge{Float64,MOI.Nonpositives})`" *
-        " does not support accessing the attribute `MathOptInterface.Test.UnknownVariableAttribute()`.",
+        " does not support accessing the attribute `$(MOI.Test.UnknownVariableAttribute())`.",
     )
     @test_throws err MOI.get(
         bridged_mock,
diff --git a/test/Bridges/Variable/zeros.jl b/test/Bridges/Variable/zeros.jl
index 06ad086f75..876189a88a 100644
--- a/test/Bridges/Variable/zeros.jl
+++ b/test/Bridges/Variable/zeros.jl
@@ -97,7 +97,7 @@ function test_zeros()
 
     err = ArgumentError(
         "Variable bridge of type `MathOptInterface.Bridges.Variable.ZerosBridge{Float64}`" *
-        " does not support accessing the attribute `MathOptInterface.Test.UnknownVariableAttribute()`.",
+        " does not support accessing the attribute `$(MOI.Test.UnknownVariableAttribute())`.",
     )
     @test_throws err MOI.get(
         bridged_mock,