diff --git a/supervision/tracker/byte_tracker/core.py b/supervision/tracker/byte_tracker/core.py
index 6c320073..d7dc2461 100644
--- a/supervision/tracker/byte_tracker/core.py
+++ b/supervision/tracker/byte_tracker/core.py
@@ -65,8 +65,12 @@ class STrack(BaseTrack):
 
         self.tracklet_len = 0
         self.state = TrackState.Tracked
-        if frame_id == 1 and self.minimum_consecutive_frames == 1:
+        if frame_id == 1:
             self.is_activated = True
+
+        if self.minimum_consecutive_frames == 1:
+            self.external_track_id = self.next_external_id()
+        
         self.frame_id = frame_id
         self.start_frame = frame_id