diff --git a/Lib/logging/__init__.py b/Lib/logging/__init__.py
index c1678b79e2d..2b8a0217240 100644
--- a/Lib/logging/__init__.py
+++ b/Lib/logging/__init__.py
@@ -271,11 +271,14 @@ class LogRecord:
         else:
             self.thread = None
             self.threadName = None
-        if logMultiprocessing:
-            from multiprocessing import current_process
-            self.processName = current_process().name
-        else:
+        if not logMultiprocessing:
             self.processName = None
+        else:
+            try:
+                from multiprocessing import current_process
+                self.processName = current_process().name
+            except ImportError:
+                self.processName = None
         if logProcesses and hasattr(os, 'getpid'):
             self.process = os.getpid()
         else:
@@ -1114,7 +1117,11 @@ class Logger(Filterer):
         Find the stack frame of the caller so that we can note the source
         file name, line number and function name.
         """
-        f = currentframe().f_back
+        f = currentframe()
+        #On some versions of IronPython, currentframe() returns None if
+        #IronPython isn't run with -X:Frames.
+        if f is not None:
+            f = f.f_back
         rv = "(unknown file)", 0, "(unknown function)"
         while hasattr(f, "f_code"):
             co = f.f_code