diff --git a/rnsutils/instrument.py b/rnsutils/instrument.py
index 820145f..a350ef6 100644
--- a/rnsutils/instrument.py
+++ b/rnsutils/instrument.py
@@ -95,6 +95,7 @@ class RenoiseModulationSet(ObjectifiedElement):
 class RenoiseInstrument(object):
     OVERLAP_CYCLE = "Cycle"
     OVERLAP_ALL = "Play All"
+    OVERLAP_RANDOM = "Random"
 
     LOOP_NONE = "Off"
     LOOP_FORWARD = "Forward"
diff --git a/rnsutils/sfztoxrni.py b/rnsutils/sfztoxrni.py
index cab9a74..b5b0206 100644
--- a/rnsutils/sfztoxrni.py
+++ b/rnsutils/sfztoxrni.py
@@ -257,6 +257,14 @@ class SfzToXrni(object):
                     renoise_instrument.root.SampleGenerator.KeyzoneOverlappingMode = RenoiseInstrument.OVERLAP_CYCLE
             elif key == 'seq_length':
                 pass
+            elif key == 'lorand':
+                if float(value) > 0:
+                    logging.info("Switch the entire instrument to random sample round robin")
+                    renoise_instrument.root.SampleGenerator.KeyzoneOverlappingMode = RenoiseInstrument.OVERLAP_RANDOM
+            elif key == 'hirand':
+                if float(value) < 1:
+                    logging.info("Switch the entire instrument to random sample round robin")
+                    renoise_instrument.root.SampleGenerator.KeyzoneOverlappingMode = RenoiseInstrument.OVERLAP_RANDOM
             elif key == 'group':
                 logging.info("Ignoring mute group info")
             elif key == 'off_by':