diff --git a/owlps-positioner/src/input.cc b/owlps-positioner/src/input.cc
index 0cbf78f..b7967af 100644
--- a/owlps-positioner/src/input.cc
+++ b/owlps-positioner/src/input.cc
@@ -124,6 +124,14 @@ const Request& Input::get_next_request() const
       const Request& request = medium->get_next_request() ;
       log_current_request() ;
 
+      if (Configuration::is_configured("replay"))
+        {
+          Timestamp::update_current_time(request.get_time_sent()) ;
+          if (Configuration::is_configured("verbose"))
+            cerr << "Current time set to "
+                 << Timestamp::get_current_time() << ".\n" ;
+        }
+
       // If the request is a calibration request, add it to the Stock
       // (if allowed, and if it is not empty)
       if (Configuration::bool_value(