Rosenfels was trying tight end Donald Lee quickly when Nece stepped in front of the pass.
A.J. Feeley scored the Dolphins' only touchdown in the third quarter when he jumped over the line of scrimmage on fourth-and-goal from the 1-yard line.
The touchdown gave the Dolphins a 10-3 lead, but Tampa Bay came right back with a ridiculously easy 78-yard touchdown drive capped by Earnest Graham's 2-yard run.
In all, the offense should much more life than it did the previous week against Washington, with Chris Chambers catching four passes, newcomer Marty Booker grabbing two passes, and both Travis Minor and Sammy Morris being able to break runs of longer than 10 yards.
Rosenfels, for his part, wound up playing six series and led the offense to only two first downs.
The Dolphins' last chance ended when Rosenfels fumbled when he was sacked from behind by Damian Gregory, who recovered the loose ball in the final minute.