diff --git a/tests/co19/co19-dart2js.status b/tests/co19/co19-dart2js.status
index 277a778d50e..75ebe8cd231 100644
--- a/tests/co19/co19-dart2js.status
+++ b/tests/co19/co19-dart2js.status
@@ -42,6 +42,7 @@ LanguageFeatures/Abstract-external-fields/static_analysis_external_A05_t02: Skip
 LanguageFeatures/Abstract-external-fields/static_analysis_external_A05_t03: SkipByDesign # Non-JS-interop external members are not supported
 LanguageFeatures/Abstract-external-fields/syntax_A01_t03: SkipByDesign # Non-JS-interop external members are not supported
 LanguageFeatures/Abstract-external-fields/syntax_A02_t03: SkipByDesign # Non-JS-interop external members are not supported
+LanguageFeatures/FinalizationRegistry/ffi/*: SkipByDesign # dart:ffi is not supported
 LibTest/core/DateTime/DateTime.fromMicrosecondsSinceEpoch_A01_t01: SkipByDesign # microseconds are not supported in JavaScript
 LibTest/core/DateTime/microsecond_A01_t01: SkipByDesign # microseconds are not supported in JavaScript
 LibTest/core/DateTime/microsecondsSinceEpoch_A01_t01: SkipByDesign # microseconds are not supported in JavaScript
diff --git a/tests/co19/co19-dartdevc.status b/tests/co19/co19-dartdevc.status
index 3458c5cb403..94d2a5000a9 100644
--- a/tests/co19/co19-dartdevc.status
+++ b/tests/co19/co19-dartdevc.status
@@ -39,6 +39,7 @@ LanguageFeatures/Abstract-external-fields/static_analysis_external_A05_t02: Skip
 LanguageFeatures/Abstract-external-fields/static_analysis_external_A05_t03: SkipByDesign # External variables are not supported
 LanguageFeatures/Abstract-external-fields/syntax_A01_t03: SkipByDesign # External variables are not supported
 LanguageFeatures/Abstract-external-fields/syntax_A02_t03: SkipByDesign # External variables are not supported
+LanguageFeatures/FinalizationRegistry/ffi/*: SkipByDesign # dart:ffi is not supported
 LibTest/core/DateTime/DateTime.fromMicrosecondsSinceEpoch_A01_t01: SkipByDesign # microseconds are not supported in JavaScript
 LibTest/core/DateTime/microsecond_A01_t01: SkipByDesign # microseconds are not supported in JavaScript
 LibTest/core/DateTime/microsecondsSinceEpoch_A01_t01: SkipByDesign # microseconds are not supported in JavaScript
diff --git a/tests/co19/co19-kernel.status b/tests/co19/co19-kernel.status
index 4e3c7d44754..3254ec0c1e3 100644
--- a/tests/co19/co19-kernel.status
+++ b/tests/co19/co19-kernel.status
@@ -27,10 +27,16 @@ LibTest/collection/ListMixin/ListMixin_class_A01_t03: Slow, Pass
 LibTest/core/List/List_class_A01_t02: Slow, Pass
 LibTest/core/List/List_class_A01_t03: Slow, Pass
 
+[ $runtime == dart_precompiled && $system == windows ]
+LanguageFeatures/FinalizationRegistry/ffi/*: SkipByDesign # https://dartbug.com/40579 Dart C API symbols not available.
+
 [ $runtime == dart_precompiled && ($arch == simarm64 || $arch == simarm64c || $arch == simriscv32 || $arch == simriscv64) ]
 LibTest/collection/ListBase/ListBase_class_A01_t01: SkipSlow # Issue 43036
 LibTest/collection/ListMixin/ListMixin_class_A01_t01: SkipSlow # Issue 43036
 
+[ $arch == simarm || $arch == simarm64 ]
+LanguageFeatures/FinalizationRegistry/ffi/*: SkipByDesign # https://github.com/dart-lang/sdk/issues/37299
+
 # It makes no sense to run any test that uses spawnURI under the simulator
 # as that would involve running CFE (the front end) in simulator mode
 # to compile the URI file specified in spawnURI code.