Asked by reporters if he would opt out, Bryant said, "I've been deflecting that all year and I ain't going to stop now."
Pressed to explain, he responded, "I'm not going anywhere. I know I ain't going nowhere, so it's just a waste of our breaths just talking about it."
Bryant turns 31 in August. He averaged 32.4 points, 7.4 assists and 5.6 rebounds during the finals, when the Lakers defeated the Orlando Magic in five games.
Kupchak met with reporters before Bryant did and said, "We have no indication of what he may or may not do."
Jackson, who turns 64 in September, said he'll decide about next season after he gets some health issues checked out.
This season, he missed two West Coast road games because of pain and swelling in his lower legs caused by plantar fasciitis, an issue "that concerned me a little bit," he said. He blamed late-night flights that aggravated the condition.
He has undergone two hip replacement operations since October 2006 - using a cane at various times
- and walks with a noticeable hitch in his step.
"I'm feeling good," said Jackson, who was scheduled to appear on the "Tonight Show" Friday night, the same show Bryant visited two days earlier.
Jackson signed a two-year contract extension last season and holds the option on a second year. The contract contains a date by which he is required to tell the Lakers if he plans to return, but Kupchak said the team is willing to give Jackson the time he needs to see a doctor.
"That date is fast approaching next week," Kupchak said. "We're talking about hopefully getting him to indicate to us in the next week or two or three his decision."
Bryant wants Lakers management and owner Jerry Buss to bring back starter Trevor Ariza and sixth man Lamar Odom, who both become unrestricted free agents on July 1.
"Extremely critical," he said about bringing both players back. "Those are pieces that are tough to find. We have such a great team. It's rare that you find a collection of guys that are so talented and willing to sacrifice themselves for the benefit of the group.
"Now it's just about keeping this group together so we can keep on winning this thing."