diff --git a/backoff/_async.py b/backoff/_async.py
index 82fd477..bf075e7 100644
--- a/backoff/_async.py
+++ b/backoff/_async.py
@@ -56,8 +56,8 @@ def retry_predicate(target, wait_gen, predicate,
     async def retry(*args, **kwargs):
 
         # update variables from outer function args
-        max_tries_value = _maybe_call(max_tries)
-        max_time_value = _maybe_call(max_time)
+        max_tries_value = _maybe_call(max_tries, *args, **kwargs)
+        max_time_value = _maybe_call(max_time, *args, **kwargs)
 
         tries = 0
         start = datetime.datetime.now()
@@ -130,8 +130,8 @@ def retry_exception(target, wait_gen, exception,
     @functools.wraps(target)
     async def retry(*args, **kwargs):
 
-        max_tries_value = _maybe_call(max_tries)
-        max_time_value = _maybe_call(max_time)
+        max_tries_value = _maybe_call(max_tries, *args, **kwargs)
+        max_time_value = _maybe_call(max_time, *args, **kwargs)
 
         tries = 0
         start = datetime.datetime.now()
diff --git a/backoff/_common.py b/backoff/_common.py
index 2b2e54e..1f24f59 100644
--- a/backoff/_common.py
+++ b/backoff/_common.py
@@ -1,5 +1,5 @@
 # coding:utf-8
-
+import inspect
 import functools
 import logging
 import sys
@@ -17,7 +17,10 @@
 def _maybe_call(f, *args, **kwargs):
     if callable(f):
         try:
-            return f(*args, **kwargs)
+            if len(inspect.signature(f).parameters) == 0:
+                f()
+            else:
+                return f(*args, **kwargs)
         except TypeError:
             return f
     else:
diff --git a/backoff/_sync.py b/backoff/_sync.py
index 4371e16..c72baf9 100644
--- a/backoff/_sync.py
+++ b/backoff/_sync.py
@@ -28,8 +28,8 @@ def retry_predicate(target, wait_gen, predicate,
 
     @functools.wraps(target)
     def retry(*args, **kwargs):
-        max_tries_value = _maybe_call(max_tries)
-        max_time_value = _maybe_call(max_time)
+        max_tries_value = _maybe_call(max_tries, *args, **kwargs)
+        max_time_value = _maybe_call(max_time, *args, **kwargs)
 
         tries = 0
         start = datetime.datetime.now()
@@ -84,8 +84,8 @@ def retry_exception(target, wait_gen, exception,
 
     @functools.wraps(target)
     def retry(*args, **kwargs):
-        max_tries_value = _maybe_call(max_tries)
-        max_time_value = _maybe_call(max_time)
+        max_tries_value = _maybe_call(max_tries, *args, **kwargs)
+        max_time_value = _maybe_call(max_time, *args, **kwargs)
 
         tries = 0
         start = datetime.datetime.now()
diff --git a/backoff/_typing.py b/backoff/_typing.py
index 20446d4..674025b 100644
--- a/backoff/_typing.py
+++ b/backoff/_typing.py
@@ -37,7 +37,7 @@ class Details(_Details, total=False):
     Callable[[Details], Coroutine[Any, Any, None]],
 ]
 _Jitterer = Callable[[float], float]
-_MaybeCallable = Union[T, Callable[[], T]]
+_MaybeCallable = Union[T, Callable[..., T]]
 _MaybeLogger = Union[str, logging.Logger, None]
 _MaybeSequence = Union[T, Sequence[T]]
 _Predicate = Callable[[T], bool]