diff --git a/tests/test_token.py b/tests/test_token.py
index f66695c..308e199 100644
--- a/tests/test_token.py
+++ b/tests/test_token.py
@@ -142,16 +142,33 @@
     return Token(value, location)
 
 
+# All strategies used to generate tokens
+all_strategies = [
+    draw_token_unknown(),
+    draw_token_space(),
+    draw_token_newline(),
+    draw_token_bool(),
+    draw_token_keyword(),
+]
+
+
+# Draws a token and possibly add garbage
+# This is to ensure that tokens must completely match a value
+@composite
+def draw_token_garbled(draw):
+    token = draw(one_of(all_strategies))
+    value = token.value
+    if draw(booleans()):
+        value = draw(text(min_size=1)) + value
+    if draw(booleans()):
+        value = value + draw(text(min_size=1))
+    return Token(value, token.location)
+
+
 # Draws a random token
 @composite
 def draw_token_random(draw):
-    strategies = [
-        draw_token_unknown(),
-        draw_token_space(),
-        draw_token_newline(),
-        draw_token_bool(),
-        draw_token_keyword(),
-    ]
+    strategies = all_strategies + [draw_token_garbled()]
     token = draw(one_of(strategies))
     return token
 
diff --git a/tests/test_tokenize.py b/tests/test_tokenize.py
index 528af7e..b074c75 100644
--- a/tests/test_tokenize.py
+++ b/tests/test_tokenize.py
@@ -176,19 +176,6 @@
     assert tokenize.strip_whitespace(input) == tokens
 
 
-# Draws a token and possibly add garbage
-# This is to ensure that tokens must completely match a value
-@composite
-def draw_token_random_garbled(draw):
-    token = draw(draw_token_random())
-    value = token.value
-    if draw(booleans()):
-        value = draw(text(min_size=1)) + value
-    if draw(booleans()):
-        value = value + draw(text(min_size=1))
-    return Token(value, token.location)
-
-
 # Draw a random string made of token values
 @composite
 def draw_source_fuzz(draw):