Olivier Giroud joked he will treat Zlatan Ibrahimovic to dinner if the Swedish striker agrees to a new contract with Serie A champions Milan.

Ibrahimovic, who turns 41 in October, officially became a free agent last week after his existing deal at San Siro expired.

Despite his age and fitness issues that restricted him to only 12 starts in all competitions last season, the veteran is reported to have been offered a one-year deal by Milan.

Only Rafael Leao and Giroud (both 14) scored more goals than Ibrahimovic's eight last term, and the latter is hopeful of spending another season with the much-travelled striker.

"When he signs the renewal, I will pay for dinner," Giroud told Tuttomercatoweb. "We want him to sign, but there is obviously no pressure. 

"He is still hungry and he is important for the locker room. I talked a lot with him. He has the same desire to win even at 40."

Giroud's goals helped Milan to a first Scudetto triumph for 11 years in what was the France international's first season at the club after joining from Chelsea.

It was the second domestic league trophy won by Giroud, having previously lifted Ligue 1 win Montpellier in 2011-12.

Milan finished two points ahead of rivals Inter, while Juventus were 16 points adrift in fourth, but World Cup winner Giroud expects both sides to be stronger this coming season.

"Juve and Inter are the teams that have strengthened the most, so it will be a fierce battle between them and us," Giroud said.

Stefano Pioli's side have themselves strengthened, with striker Divock Origi among those to have arrived since Milan lifted the title in May.

The Belgium striker scored 22 goals in 107 Premier League appearances for Liverpool, while only starting 34 of those matches, and Giroud is relishing the additional competition.

"He speaks French, so I did my role as a big brother because it is very important to welcome everyone even if I am going to compete with him," Giroud said.

"I have always said that competition is very important to be strong, to learn and to give your best. It's a good reinforcement."