Agent Drew Rosenhaus visited Burress over the weekend and wrote on his Twitter account that Burress "looks in terrific shape," the Norfolk Virginian-Pilot reported Monday.
Burress is serving a two-year prison term for a weapons violation. He has also played for the Pittsburgh Steelers.
"He is in great spirits and is excited to be reunited with his family on June 6th," Rosenhaus wrote. "We talked at length about his future in the NFL & he can't wait to get back on the football field in 2011! He is mentally & physically strong right now and is looking forward to the future!"
Former Steelers teammate Hines Ward said Burress would be welcomed back to Pittsburgh, and former Giants teammates Eli Manning and Osi Umenyiora said they support their former teammate.
"He looks great. He is lean; he is in good shape," said Umenyiora, who has also visited Burress in prison. "He's focused and he seems happy. I just can't wait for him to come out and I think he is going to have a great impact a la Michael Vick."
The Giants haven't been the same team without Burress, Umenyiora said.
"If you look at our team before, when Plaxico was in, if you look after he's gone, even though we have had some success and even though we have played pretty well, it just hasn't been the same without him," Umenyiora said in an ESPN interview.