Stone was acquired in a trade with the Ottawa Senators on Feb. 25 along with forward prospect Tobias Lindberg for forward Oscar Lindberg, defenseman prospect Erik Brannstrom and a second-round pick in the 2020 NHL Draft.
He signed a one-year, $7.35 million contract with the Senators on Aug. 3, 2018, and could have become an unrestricted free agent on July 1.
"I'm excited to be part of this organization for the next 8 1/2 years, and I think the way that the guys built something last year, I just want to be a part of that and helping build something special here in Vegas," he said Saturday before the Golden Knights play the Vancouver Canucks at Rogers Arena (10 p.m. ET; ESPN+, CBC, SN, SN1, CITY, ATTSN-RM, NHL.TV).
Vegas (37-26-5) has won all five games since the trade and is third in the Pacific Division, nine points behind the second-place San Jose Sharks.
"It helps when you win," he said. "We've won every game, so it definitely helps, but I want to be relied upon to produce so there obviously is a little pressure to produce and help this team win games. I am not really feeling it right now, but I definitely want to produce to help this team."
Stone has two assists in the five games since the trade but has a 58.23 shot attempt percentage; he was at 52.24 percent in 59 games with the Senators. The 26-year-old forward has 64 points (28 goals, 36 assists) in 64 games with Ottawa and Vegas.
He said he's getting used to his new team after being scratched by the Senators for three games before being traded.
"The last game (a 2-1 win against the Calgary Flames on Wednesday) was probably the best I have felt since coming over," Stone said. "It was tough being scratched for whatever it was, three or four games in Ottawa, and then coming right in here. It's a lot different, but between the guys and the staff it's been a pretty easy transition and I am starting to feel comfortable."
Selected by the Senators in the sixth round (No. 178) in the 2010 NHL Draft, Stone has 313 points (123 goals, 190 assists) in 371 NHL games. He also has 13 points (five goals, eight assists) in 27 Stanley Cup Playoff games.
