diff --git a/test/QATest.jl b/test/QATest.jl
index 860ccdb0..7ebac540 100644
--- a/test/QATest.jl
+++ b/test/QATest.jl
@@ -5,12 +5,21 @@ using Test
 
 using JET: @test_opt
 
-@testset "JET" begin
-    # issue #778
-    @test_opt ForwardDiff.derivative(identity, 1.0)
-    @test_opt ForwardDiff.gradient(only, [1.0], ForwardDiff.GradientConfig(only, [1.0], ForwardDiff.Chunk{1}()))
-    @test_opt ForwardDiff.jacobian(identity, [1.0], ForwardDiff.JacobianConfig(identity, [1.0], ForwardDiff.Chunk{1}()))
-    @test_opt ForwardDiff.hessian(only, [1.0], ForwardDiff.HessianConfig(only, [1.0], ForwardDiff.Chunk{1}()))
+# On Julia prereleases JET's analysis lags the compiler and produces
+# false-positive runtime-dispatch reports (e.g. on 1.13.0-rc1 for concrete
+# Base broadcast/view/CartesianIndex code reached by these calls: native
+# inference of every flagged frame is concrete and the kernels are
+# allocation-free, so nothing is actually mis-inferred in ForwardDiff;
+# https://github.com/aviatesk/JET.jl/issues/839). Only run the JET tests on
+# released Julia versions.
+if isempty(VERSION.prerelease)
+    @testset "JET" begin
+        # issue #778
+        @test_opt ForwardDiff.derivative(identity, 1.0)
+        @test_opt ForwardDiff.gradient(only, [1.0], ForwardDiff.GradientConfig(only, [1.0], ForwardDiff.Chunk{1}()))
+        @test_opt ForwardDiff.jacobian(identity, [1.0], ForwardDiff.JacobianConfig(identity, [1.0], ForwardDiff.Chunk{1}()))
+        @test_opt ForwardDiff.hessian(only, [1.0], ForwardDiff.HessianConfig(only, [1.0], ForwardDiff.Chunk{1}()))
+    end
 end
 
 end # module