Joshua's promoter Eddie Hearn has tipped a meeting with WBC champion Deontay Wilder as an inevitability, while coach Rob McCracken hopes that a bout against WBO champion Joseph Parker presents itself first.
"The possibilities are bubbling nicely in the distance," Joshua told BBC Sport following Saturday's bout. "I'm not worried about 2018 because of the potential possibilities to come.
"I want the other two belts out there, whether it's Wilder first or Parker."
Joshua's professional record now stands at 20-0, with 20 consecutive knockouts.