diff --git a/test/test_browser.py b/test/test_browser.py
index 8f08677e2f915..245e42d15e575 100644
--- a/test/test_browser.py
+++ b/test/test_browser.py
@@ -234,10 +234,6 @@ def setUp(self):
       '-Wno-int-conversion',
     ]
 
-  def require_wasm64(self):
-    # All the browsers we run on support wasm64 (Chrome and Firefox).
-    return True
-
   def require_wasm2js(self):
     if self.is_wasm64():
       self.skipTest('wasm2js is not compatible with MEMORY64')
@@ -1691,9 +1687,7 @@ def test_worker(self):
       self.run_browser('main.html', '/report_result?hello from worker, and :' + ('data for w' if file_data else '') + ':')
 
     # code should run standalone too
-    # (doesn't work under browser64 due to `require_wasm64` hack in this class)
-    if not self.is_wasm64():
-      self.assertContained('you should not see this text when in a worker!', self.run_js('worker.js'))
+    self.assertContained('you should not see this text when in a worker!', self.run_js('worker.js'))
 
   @no_wasmfs('https://github.com/emscripten-core/emscripten/issues/19608')
   def test_mmap_lazyfile(self):
@@ -5562,7 +5556,7 @@ def test_wasm_worker_proxied_function(self):
 
   @no_firefox('no 4GB support yet')
   @requires_v8
-  def test_zzz_zzz_4gb(self):
+  def test_4gb(self):
     # TODO Convert to an actual browser test when it reaches stable.
     # For now, keep this in browser as this suite runs serially, which
     # means we don't compete for memory with anything else (and run it
@@ -5576,7 +5570,7 @@ def test_zzz_zzz_4gb(self):
 
   # Tests that emmalloc supports up to 4GB Wasm heaps.
   @no_firefox('no 4GB support yet')
-  def test_zzz_zzz_emmalloc_4gb(self):
+  def test_emmalloc_4gb(self):
     # For now, keep this in browser as this suite runs serially, which
     # means we don't compete for memory with anything else (and run it
     # at the very very end, to reduce the risk of it OOM-killing the
@@ -5653,12 +5647,12 @@ def test_wasmfs_opfs_errors(self):
     self.btest(test, args=args, expected="0")
 
   @no_firefox('no 4GB support yet')
-  def test_zzz_zzz_emmalloc_memgrowth(self, *args):
+  def test_emmalloc_memgrowth(self, *args):
     self.btest('emmalloc_memgrowth.cpp', expected='0', args=['-sMALLOC=emmalloc', '-sALLOW_MEMORY_GROWTH=1', '-sABORTING_MALLOC=0', '-sASSERTIONS=2', '-sMINIMAL_RUNTIME=1', '-sMAXIMUM_MEMORY=4GB'])
 
   @no_firefox('no 4GB support yet')
   @requires_v8
-  def test_zzz_zzz_2gb_fail(self):
+  def test_2gb_fail(self):
     # TODO Convert to an actual browser test when it reaches stable.
     #      For now, keep this in browser as this suite runs serially, which
     #      means we don't compete for memory with anything else (and run it
@@ -5673,7 +5667,7 @@ def test_zzz_zzz_2gb_fail(self):
   @no_firefox('no 4GB support yet')
   @requires_v8
   @no_wasm64()
-  def test_zzz_zzz_4gb_fail(self):
+  def test_4gb_fail(self):
     # TODO Convert to an actual browser test when it reaches stable.
     #      For now, keep this in browser as this suite runs serially, which
     #      means we don't compete for memory with anything else (and run it