The Sale Sharks fly-half last played in an international in 2008, but could be the side's third-choice number 10 behind Owen Farrell and George Ford for the three-Test series after being included in the training squad as preparation for the trip.
The England coach told Sky Sports News: "It's good to get Danny Cipriani back in the England camp. I spent a bit of time with him last night talking through the last couple of seasons all the lessons he's learnt and where we've evolved as a team. So I think he's just excited about being back.
"Freddie Burns has never let us down for England, he's suffered a bit in that transitional time from leaving Gloucester but I thought his form picked up towards the end of the season and there's a great opportunity for him as well.
"I'm open-minded at the moment. It's early days in the camp and see how it goes towards the end of the week and certainly we'll make a clearer decision by the start of next week."
Lancaster will announce his final squad for the series on Monday.