diff --git a/doc/fixes35.0 b/doc/fixes35.0
index 74fa5f47b..5a57db943 100644
--- a/doc/fixes35.0
+++ b/doc/fixes35.0
@@ -1049,6 +1049,7 @@ bones files now include extra data to identify dead hero and reason for death
 dipping multiple potions in another potion may only dip part of their stack
 make being inside a stinking cloud (when not immune or resistant) become a
 	major trouble which is fixable by prayer
+introduce some variation in monster movement rates
 
 
 Platform- and/or Interface-Specific New Features
diff --git a/src/mon.c b/src/mon.c
index aff3ee4e2..ae6394d13 100644
--- a/src/mon.c
+++ b/src/mon.c
@@ -454,8 +454,16 @@ struct monst *mon;
 	    /* average movement is 1.50 times normal */
 	    mmove = ((rn2(2) ? 4 : 5) * mmove) / 3;
 	}
-    }
+    } else
 #endif
+    if (mmove) {
+	/* vary movement points allocated to slightly reduce predictability;
+	   random increment (avg +2) exceeds random decrement (avg +1) by
+	   a small amount; normal speed monsters will occasionally get an
+	   extra move and slow ones won't be quite as slow */
+	mmove += rn2(5) - rn2(3);	/* + 0..4 - 0..2, average net +1 */
+	if (mmove < 1) mmove = 1;
+    }
 
     return mmove;
 }