The new Ganassi recruit has previously competed in the Indy 500, finishing an impressive sixth in 2014 in an attempt to become only the second driver after Tony Stewart to complete IndyCar's flagship race and Charlotte's Coca-Cola 600 NASCAR race in the same day.
He retired late in the Charlotte race and missed out on the record.
Ganassi competes in the IndyCar series, NASCAR, the FIA World Endurance Championship - including the Le Mans 24 Hours - and the IMSA WeatherTech SportsCar Championship that organizes the Rolex 24.
When Busch and Ganassi were asked about the potential for the driver to race in the Rolex 24 and Indy 500, Ganassi said: "In my conversations with Kurt, all that stuff is available.
"All our cars are available to all of our drivers.
"I think it’s just a matter of if the opportunity presents itself, and there is obviously a lot more than just me saying ‘hey let’s do it’ and him saying ‘yeah let’s do it’.
"I am game. For the two of us to decide, that is somewhat on a bit of an island when it comes to those types of things. The important point is those things are available for conversations and that is one of the things. Again it’s not often you have a guy that has the experience to do that, like an Indy in an IndyCar.
"It’s certainly on the table if need be.”