Ibrahimovic celebrated his 40th birthday in October but the veteran forward has shown no signs of slowing down amid Milan's Serie A title bid.
Out of contract at the end of the season, Ibrahimovic has scored six goals in nine league appearances to help Scudetto-chasing Milan to the top of the table through 16 rounds.
Ibrahimovic has been a revelation since re-joining Milan for a second spell in January 2020 and as the Swede continues to defy 'Father Time', he has no plans to leave San Siro.
"I want to play as long as possible, and as long as I have that adrenaline, I will continue," Ibrahimovic – who was part of the last Milan team to win Serie A in 2010-11 – told Rai Tre's Che Tempo Che Fa.
"Let's put pressure on Milan here to give me an extension and I hope to stay at Milan for life.
"I still have objectives that I can achieve and I want to win another Scudetto."
Ibrahimovic said: "I don't know what will happen after football, so I am a little scared to stop. We'll see, but I want to continue playing so that I don't have any regrets."
Milan defeated Salernitana 2-0 on Sunday, with Ibrahimovic watching from the bench.
In Milan's previous victory – a 3-0 win over Genoa on Thursday (AEDT) – Ibrahimovic scored his 153rd Serie A goal, drawing level with Stefano Nyers and Hernan Crespo in 26th place among the top scorers in the Italian competition.
His 73 league goals for Milan also took Swedish forward Ibrahimovic to 10th in Milan's standings, alongside Filippo Inzaghi.
Ibrahimovic has played alongside Milan great and current Rossoneri technical director Paolo Maldini, and his son Daniel – spanning two generations.
"It's wonderful, we'll see if the adrenaline continues and I can play with Daniel's son as well!" Ibrahimovic joked.