Assuming we're talking about the Hollywood-Fort Lauderdale International Airport (FLL), and depending on which terminal your cruise embarks / disembarks in Port Everglades, the journey covers about 2 miles (3.5km) distance and should be accomplished in about 15 minutes.
Note that there can be some delays when entering the port area for navigating vehicle security check points - it's a state-owned site and features gated entry more like that of an airport.
The journey from the cruise terminals to FLL can experience some congestion around the 'horseshoe' at both arrivals and departures. This is especially true during the winter months. Plan for up to 10 or even 20 minutes of additional delay, traffic can back up right onto the nearby I-95!