diff --git a/Lib/importlib/_bootstrap_external.py b/Lib/importlib/_bootstrap_external.py
index badd7a7..67bd1d3 100644
--- a/Lib/importlib/_bootstrap_external.py
+++ b/Lib/importlib/_bootstrap_external.py
@@ -270,6 +270,7 @@
 #                         comprehensions #35224)
 #     Python 3.8b2  3412 (Swap the position of positional args and positional
 #                         only args in ast.arguments #37593)
+#     Python 3.8b4  3413 (Fix "break" and "continue" in "finally" #37830)
 #
 # MAGIC must change whenever the bytecode emitted by the compiler may no
 # longer be understood by older implementations of the eval loop (usually
@@ -278,7 +279,7 @@
 # Whenever MAGIC_NUMBER is changed, the ranges in the magic_values array
 # in PC/launcher.c must also be updated.
 
-MAGIC_NUMBER = (3412).to_bytes(2, 'little') + b'\r\n'
+MAGIC_NUMBER = (3413).to_bytes(2, 'little') + b'\r\n'
 _RAW_MAGIC_NUMBER = int.from_bytes(MAGIC_NUMBER, 'little')  # For import.c
 
 _PYCACHE = '__pycache__'
diff --git a/Lib/test/test_dis.py b/Lib/test/test_dis.py
index 652af45..03b2860 100644
--- a/Lib/test/test_dis.py
+++ b/Lib/test/test_dis.py
@@ -980,7 +980,7 @@
   Instruction(opname='SETUP_FINALLY', opcode=122, arg=70, argval=174, argrepr='to 174', offset=102, starts_line=20, is_jump_target=True),
   Instruction(opname='SETUP_FINALLY', opcode=122, arg=12, argval=118, argrepr='to 118', offset=104, starts_line=None, is_jump_target=False),
   Instruction(opname='LOAD_CONST', opcode=100, arg=5, argval=1, argrepr='1', offset=106, starts_line=21, is_jump_target=False),
-  Instruction(opname='LOAD_CONST', opcode=100, arg=7, argval=0, argrepr='0', offset=108, starts_line=None, is_jump_target=False),
+  Instruction(opname='LOAD_CONST', opcode=100, arg=8, argval=0, argrepr='0', offset=108, starts_line=None, is_jump_target=False),
   Instruction(opname='BINARY_TRUE_DIVIDE', opcode=27, arg=None, argval=None, argrepr='', offset=110, starts_line=None, is_jump_target=False),
   Instruction(opname='POP_TOP', opcode=1, arg=None, argval=None, argrepr='', offset=112, starts_line=None, is_jump_target=False),
   Instruction(opname='POP_BLOCK', opcode=87, arg=None, argval=None, argrepr='', offset=114, starts_line=None, is_jump_target=False),
@@ -993,7 +993,7 @@
   Instruction(opname='POP_TOP', opcode=1, arg=None, argval=None, argrepr='', offset=128, starts_line=None, is_jump_target=False),
   Instruction(opname='POP_TOP', opcode=1, arg=None, argval=None, argrepr='', offset=130, starts_line=None, is_jump_target=False),
   Instruction(opname='LOAD_GLOBAL', opcode=116, arg=1, argval='print', argrepr='print', offset=132, starts_line=23, is_jump_target=False),
-  Instruction(opname='LOAD_CONST', opcode=100, arg=8, argval='Here we go, here we go, here we go...', argrepr="'Here we go, here we go, here we go...'", offset=134, starts_line=None, is_jump_target=False),
+  Instruction(opname='LOAD_CONST', opcode=100, arg=9, argval='Here we go, here we go, here we go...', argrepr="'Here we go, here we go, here we go...'", offset=134, starts_line=None, is_jump_target=False),
   Instruction(opname='CALL_FUNCTION', opcode=131, arg=1, argval=1, argrepr='', offset=136, starts_line=None, is_jump_target=False),
   Instruction(opname='POP_TOP', opcode=1, arg=None, argval=None, argrepr='', offset=138, starts_line=None, is_jump_target=False),
   Instruction(opname='POP_EXCEPT', opcode=89, arg=None, argval=None, argrepr='', offset=140, starts_line=None, is_jump_target=False),
@@ -1003,7 +1003,7 @@
   Instruction(opname='SETUP_WITH', opcode=143, arg=14, argval=164, argrepr='to 164', offset=148, starts_line=None, is_jump_target=False),
   Instruction(opname='STORE_FAST', opcode=125, arg=1, argval='dodgy', argrepr='dodgy', offset=150, starts_line=None, is_jump_target=False),
   Instruction(opname='LOAD_GLOBAL', opcode=116, arg=1, argval='print', argrepr='print', offset=152, starts_line=26, is_jump_target=False),
-  Instruction(opname='LOAD_CONST', opcode=100, arg=9, argval='Never reach this', argrepr="'Never reach this'", offset=154, starts_line=None, is_jump_target=False),
+  Instruction(opname='LOAD_CONST', opcode=100, arg=10, argval='Never reach this', argrepr="'Never reach this'", offset=154, starts_line=None, is_jump_target=False),
   Instruction(opname='CALL_FUNCTION', opcode=131, arg=1, argval=1, argrepr='', offset=156, starts_line=None, is_jump_target=False),
   Instruction(opname='POP_TOP', opcode=1, arg=None, argval=None, argrepr='', offset=158, starts_line=None, is_jump_target=False),
   Instruction(opname='POP_BLOCK', opcode=87, arg=None, argval=None, argrepr='', offset=160, starts_line=None, is_jump_target=False),
@@ -1014,7 +1014,7 @@
   Instruction(opname='POP_BLOCK', opcode=87, arg=None, argval=None, argrepr='', offset=170, starts_line=None, is_jump_target=True),
   Instruction(opname='BEGIN_FINALLY', opcode=53, arg=None, argval=None, argrepr='', offset=172, starts_line=None, is_jump_target=False),
   Instruction(opname='LOAD_GLOBAL', opcode=116, arg=1, argval='print', argrepr='print', offset=174, starts_line=28, is_jump_target=True),
-  Instruction(opname='LOAD_CONST', opcode=100, arg=10, argval="OK, now we're done", argrepr='"OK, now we\'re done"', offset=176, starts_line=None, is_jump_target=False),
+  Instruction(opname='LOAD_CONST', opcode=100, arg=7, argval="OK, now we're done", argrepr='"OK, now we\'re done"', offset=176, starts_line=None, is_jump_target=False),
   Instruction(opname='CALL_FUNCTION', opcode=131, arg=1, argval=1, argrepr='', offset=178, starts_line=None, is_jump_target=False),
   Instruction(opname='POP_TOP', opcode=1, arg=None, argval=None, argrepr='', offset=180, starts_line=None, is_jump_target=False),
   Instruction(opname='END_FINALLY', opcode=88, arg=None, argval=None, argrepr='', offset=182, starts_line=None, is_jump_target=False),
diff --git a/Lib/test/test_grammar.py b/Lib/test/test_grammar.py
index 78d9459..2ed73e3 100644
--- a/Lib/test/test_grammar.py
+++ b/Lib/test/test_grammar.py
@@ -991,6 +991,60 @@
                 return 4
         self.assertEqual(g3(), 4)
 
+    def test_break_in_finally_after_return(self):
+        # See issue #37830
+        def g1(x):
+            for count in [0, 1]:
+                count2 = 0
+                while count2 < 20:
+                    count2 += 10
+                    try:
+                        return count + count2
+                    finally:
+                        if x:
+                            break
+            return 'end', count, count2
+        self.assertEqual(g1(False), 10)
+        self.assertEqual(g1(True), ('end', 1, 10))
+
+        def g2(x):
+            for count in [0, 1]:
+                for count2 in [10, 20]:
+                    try:
+                        return count + count2
+                    finally:
+                        if x:
+                            break
+            return 'end', count, count2
+        self.assertEqual(g2(False), 10)
+        self.assertEqual(g2(True), ('end', 1, 10))
+
+    def test_continue_in_finally_after_return(self):
+        # See issue #37830
+        def g1(x):
+            count = 0
+            while count < 100:
+                count += 1
+                try:
+                    return count
+                finally:
+                    if x:
+                        continue
+            return 'end', count
+        self.assertEqual(g1(False), 1)
+        self.assertEqual(g1(True), ('end', 100))
+
+        def g2(x):
+            for count in [0, 1]:
+                try:
+                    return count
+                finally:
+                    if x:
+                        continue
+            return 'end', count
+        self.assertEqual(g2(False), 0)
+        self.assertEqual(g2(True), ('end', 1))
+
     def test_yield(self):
         # Allowed as standalone statement
         def g(): yield 1
diff --git a/Lib/test/test_importlib/test_util.py b/Lib/test/test_importlib/test_util.py
index 0350a5a..58faab4 100644
--- a/Lib/test/test_importlib/test_util.py
+++ b/Lib/test/test_importlib/test_util.py
@@ -861,7 +861,7 @@
         in advance. Such exceptional releases will then require an
         adjustment to this test case.
         """
-        EXPECTED_MAGIC_NUMBER = 3410
+        EXPECTED_MAGIC_NUMBER = 3413
         actual = int.from_bytes(importlib.util.MAGIC_NUMBER[:2], 'little')
 
         msg = (