--- a/src/jdk.jlink/share/classes/jdk/tools/jlink/internal/JlinkTask.java
+++ b/src/jdk.jlink/share/classes/jdk/tools/jlink/internal/JlinkTask.java
@@ -726,7 +726,7 @@ public class JlinkTask {
 
     private String getSaveOpts() {
         StringBuilder sb = new StringBuilder();
-        sb.append('#').append(new Date()).append("\n");
+        sb.append('#').append(System.getenv("SOURCE_DATE_EPOCH") != null ? new Date(1000 * Long.parseLong(System.getenv("SOURCE_DATE_EPOCH"))) : new Date()).append("\n");
         for (String c : optionsHelper.getInputCommand()) {
             sb.append(c).append(" ");
         }