diff --git a/tests/SelfTest/IntrospectiveTests/RandomNumberGeneration.tests.cpp b/tests/SelfTest/IntrospectiveTests/RandomNumberGeneration.tests.cpp
index 03be6c9c..8517d617 100644
--- a/tests/SelfTest/IntrospectiveTests/RandomNumberGeneration.tests.cpp
+++ b/tests/SelfTest/IntrospectiveTests/RandomNumberGeneration.tests.cpp
@@ -493,7 +493,6 @@ TEMPLATE_TEST_CASE( "uniform_integer_distribution is reproducible",
     REQUIRE_THAT(generated, Catch::Matchers::RangeEquals(uniform_integer_test_params<TestType>::expected));
 }
 
-
 namespace {
     template <typename T>
     struct uniform_fp_test_params;
@@ -551,6 +550,20 @@ namespace {
 #endif
 } // namespace
 
+// The reproducibility tests assume that operations on `float`/`double`
+// happen in the same precision as the operated-upon type. This is
+// generally true, unless the code is compiled for 32 bit targets without
+// SSE2 enabled, in which case the operations are done in the x87 FPU,
+// which usually implies doing math in 80 bit floats, and then rounding
+// into smaller type when the type is saved into memory. This obviously
+// leads to a different answer, than doing the math in the correct precision.
+#if ( defined( _MSC_VER ) && _M_IX86_FP < 2 ) || \
+    ( defined( __GNUC__ ) && !defined( __SSE2_MATH__ ) )
+#    define CATCH_TEST_CONFIG_DISABLE_FLOAT_REPRODUCIBILITY_TESTS
+#endif
+
+#if !defined( CATCH_TEST_CONFIG_DISABLE_FLOAT_REPRODUCIBILITY_TESTS )
+
 TEMPLATE_TEST_CASE( "uniform_floating_point_distribution is reproducible",
                     "[rng][distribution][floating-point][approvals]",
                     float,
@@ -570,6 +583,8 @@ TEMPLATE_TEST_CASE( "uniform_floating_point_distribution is reproducible",
     REQUIRE_THAT( generated, Catch::Matchers::RangeEquals( uniform_fp_test_params<TestType>::expected ) );
 }
 
+#endif // ^^ float reproducibility tests are enabled
+
 TEMPLATE_TEST_CASE( "uniform_floating_point_distribution can handle unitary ranges",
                     "[rng][distribution][floating-point][approvals]",
                     float,