Yet McMichael and Mayes continue to receive more attention than Weaver.
"Recognition is always good, they can have all the paper hype in the world, but when it comes down to opening day and they announce the offense, who gets announced is going to be the guy who's out there.
"It doesn't really matter to me. I know what the score is. I'm running with the 1's right now. I'm trying not to think of it as those guys chasing me down or trying to hold them off or anything like that."
Dolphins observers seem to think it's a matter of time before McMichael takes over as the starting tight end.
That's because McMichael possesses a higher upside than Weaver.
But Weaver shouldn't be dismissed too quickly. While he isn't nearly as fast as McMichael, he has proven a dependable receiver in his two years with the Dolphins.
And that, of course, is even more important given the arrival of Norv Turner as offensive coordinator.
As far as Weaver is concerned, life couldn't be much better these days.
"That's the one thing about the NFL these days, you just have to stay healthy and keep plugging, and hope an opportunity like this comes before you," he said. "There's no better situation I could be in — my contract year, Norv came to town, I have a leg up as the starter right now. Now it's up to me to go out and get the job done."