Patriots coach Bill Belichick has long admired Hopkins, and current New England receiver Kendrick Bourne said he welcomes the possibility of Hopkins joining the team.
"I'm a fan of D-Hop," Bourne said Friday after the team's organized team activity. "It would be cool. I don't know the gist of what's going on, but he is a great player. Anything that would help us win, I'm with."
The Patriots have immediate salary-cap flexibility to fit Hopkins, with approximately $13 million in space.
Last December, prior to the Patriots facing the Cardinals, Belichick was highly complimentary of Hopkins.
"He's every bit as good as anybody I've ever coached against," Belichick said then. "... He's got tremendous ball skills. He catches everything, has great hands, and he's long so he's never covered. Even if he's covered, there's a place where the ball can be that he can get it and still make the catch. Great coordination on the sidelines, and he doesn't really look it but he's a strong kid.
"... He's a very smart football player, very savvy. But his ball skills are at the very elite level with guys that I've seen in this league. He's up there with whoever the top guys are, the Cris Carters of the world and guys like that."
NFL Network first reported Hopkins' scheduled visit with the Patriots.