diff --git a/cont.c b/cont.c
index cccca9d884faab..5a805cc1ac846a 100644
--- a/cont.c
+++ b/cont.c
@@ -1775,6 +1775,13 @@ rb_callcc(VALUE self)
         return rb_yield(val);
     }
 }
+#ifdef RUBY_ASAN_ENABLED
+/* callcc can't possibly work with ASAN; see bug #20273. Also this function
+ * definition below avoids a "defined and not used" warning. */
+MAYBE_UNUSED(static void notusing_callcc(void)) { rb_callcc(Qnil); }
+# define rb_callcc rb_f_notimplement
+#endif
+
 
 static VALUE
 make_passing_arg(int argc, const VALUE *argv)
diff --git a/test/ruby/test_array.rb b/test/ruby/test_array.rb
index e40651eb8e5f81..6e84bdbd02dc25 100644
--- a/test/ruby/test_array.rb
+++ b/test/ruby/test_array.rb
@@ -3561,6 +3561,7 @@ def need_continuation
     unless respond_to?(:callcc, true)
       EnvUtil.suppress_warning {require 'continuation'}
     end
+    omit 'requires callcc support' unless respond_to?(:callcc, true)
   end
 end
 
diff --git a/test/ruby/test_beginendblock.rb b/test/ruby/test_beginendblock.rb
index 3ee1f97e58a60f..3706efab52dd0b 100644
--- a/test/ruby/test_beginendblock.rb
+++ b/test/ruby/test_beginendblock.rb
@@ -1,5 +1,6 @@
 # frozen_string_literal: false
 require 'test/unit'
+EnvUtil.suppress_warning {require 'continuation'}
 
 class TestBeginEndBlock < Test::Unit::TestCase
   DIR = File.dirname(File.expand_path(__FILE__))
@@ -131,6 +132,8 @@ def test_rescue_at_exit
   end
 
   def test_callcc_at_exit
+    omit 'requires callcc support' unless respond_to?(:callcc)
+
     bug9110 = '[ruby-core:58329][Bug #9110]'
     assert_ruby_status([], "#{<<~"begin;"}\n#{<<~'end;'}", bug9110)
     begin;
diff --git a/test/ruby/test_continuation.rb b/test/ruby/test_continuation.rb
index 8c62d208402f1e..612dbf28c90eee 100644
--- a/test/ruby/test_continuation.rb
+++ b/test/ruby/test_continuation.rb
@@ -4,6 +4,10 @@
 require 'fiber'
 
 class TestContinuation < Test::Unit::TestCase
+  def setup
+    omit 'requires callcc support' unless respond_to?(:callcc)
+  end
+
   def test_create
     assert_equal(:ok, callcc{:ok})
     assert_equal(:ok, callcc{|c| c.call :ok})
diff --git a/test/ruby/test_enum.rb b/test/ruby/test_enum.rb
index f7c8f012d8c75b..7503e062726d8e 100644
--- a/test/ruby/test_enum.rb
+++ b/test/ruby/test_enum.rb
@@ -843,6 +843,8 @@ def test_cycle
   end
 
   def test_callcc
+    omit 'requires callcc support' unless respond_to?(:callcc)
+
     assert_raise(RuntimeError) do
       c = nil
       @obj.sort_by {|x| callcc {|c2| c ||= c2 }; x }
diff --git a/test/ruby/test_fiber.rb b/test/ruby/test_fiber.rb
index cb6e846bc69df6..1fb6103d8a18ba 100644
--- a/test/ruby/test_fiber.rb
+++ b/test/ruby/test_fiber.rb
@@ -82,12 +82,14 @@ def test_error
       f.resume
       f.resume
     }
-    assert_raise(RuntimeError){
-      Fiber.new{
-        @c = callcc{|c| @c = c}
-      }.resume
-      @c.call # cross fiber callcc
-    }
+    if respond_to?(:callcc)
+      assert_raise(RuntimeError){
+        Fiber.new{
+          @c = callcc{|c| @c = c}
+        }.resume
+        @c.call # cross fiber callcc
+      }
+    end
     assert_raise(RuntimeError){
       Fiber.new{
         raise
diff --git a/test/ruby/test_hash.rb b/test/ruby/test_hash.rb
index c72b256bab39aa..ba0def09888955 100644
--- a/test/ruby/test_hash.rb
+++ b/test/ruby/test_hash.rb
@@ -1359,6 +1359,8 @@ def test_flatten_arity
   end
 
   def test_callcc
+    omit 'requires callcc support' unless respond_to?(:callcc)
+
     h = @cls[1=>2]
     c = nil
     f = false
@@ -1379,6 +1381,8 @@ def test_callcc
   end
 
   def test_callcc_iter_level
+    omit 'requires callcc support' unless respond_to?(:callcc)
+
     bug9105 = '[ruby-dev:47803] [Bug #9105]'
     h = @cls[1=>2, 3=>4]
     c = nil
@@ -1397,6 +1401,8 @@ def test_callcc_iter_level
   end
 
   def test_callcc_escape
+    omit 'requires callcc support' unless respond_to?(:callcc)
+
     bug9105 = '[ruby-dev:47803] [Bug #9105]'
     assert_nothing_raised(RuntimeError, bug9105) do
       h=@cls[]
@@ -1411,6 +1417,8 @@ def test_callcc_escape
   end
 
   def test_callcc_reenter
+    omit 'requires callcc support' unless respond_to?(:callcc)
+
     bug9105 = '[ruby-dev:47803] [Bug #9105]'
     assert_nothing_raised(RuntimeError, bug9105) do
       h = @cls[1=>2,3=>4]
diff --git a/test/ruby/test_marshal.rb b/test/ruby/test_marshal.rb
index 13645e3aa805f8..79d95777372e12 100644
--- a/test/ruby/test_marshal.rb
+++ b/test/ruby/test_marshal.rb
@@ -609,6 +609,8 @@ def marshal_load(v)
 
   def test_continuation
     EnvUtil.suppress_warning {require "continuation"}
+    omit 'requires callcc support' unless respond_to?(:callcc)
+
     c = Bug9523.new
     assert_raise_with_message(RuntimeError, /Marshal\.dump reentered at marshal_dump/) do
       Marshal.dump(c)
diff --git a/test/ruby/test_settracefunc.rb b/test/ruby/test_settracefunc.rb
index f7120922c42596..1251f8879f585c 100644
--- a/test/ruby/test_settracefunc.rb
+++ b/test/ruby/test_settracefunc.rb
@@ -1,5 +1,6 @@
 # frozen_string_literal: false
 require 'test/unit'
+EnvUtil.suppress_warning {require 'continuation'}
 
 class TestSetTraceFunc < Test::Unit::TestCase
   def setup
@@ -1258,15 +1259,17 @@ def each
       end
     }
     assert_normal_exit src % %q{obj.zip({}) {}}, bug7774
-    assert_normal_exit src % %q{
-      require 'continuation'
-      begin
-        c = nil
-        obj.sort_by {|x| callcc {|c2| c ||= c2 }; x }
-        c.call
-      rescue RuntimeError
-      end
-    }, bug7774
+    if respond_to?(:callcc)
+      assert_normal_exit src % %q{
+        require 'continuation'
+        begin
+          c = nil
+          obj.sort_by {|x| callcc {|c2| c ||= c2 }; x }
+          c.call
+        rescue RuntimeError
+        end
+      }, bug7774
+    end
 
     # TracePoint
     tp_b = nil