diff --git a/x/simulation/log.go b/x/simulation/log.go
index b22709b65414..42eba43b8978 100644
--- a/x/simulation/log.go
+++ b/x/simulation/log.go
@@ -49,7 +49,7 @@ func (lw *StandardLogWriter) PrintLogs() {
 func createLogFile() *os.File {
 	var f *os.File
 
-	fileName := fmt.Sprintf("%s.log", time.Now().Format("2006-01-02_15:04:05"))
+	fileName := fmt.Sprintf("%d.log", time.Now().UnixMilli())
 	folderPath := path.Join(os.ExpandEnv("$HOME"), ".simapp", "simulations")
 	filePath := path.Join(folderPath, fileName)