Multiple sources have emphatically said Milwaukee will not look to trade Antetokounmpo if he passes on the extension. Instead, the Bucks will try to improve their roster and use the next year to show Antetokounmpo why he should stay. Waiting would give Antetokounmpo maximum leverage over Milwaukee over the next 12 months. If the Bucks are willing to add to their payroll to improve the team — something ESPN’s Adrian Wojnarowski has reported they are — Milwaukee could chase a significant upgrade in trades (despite being short on prime assets).

Source: Tim Bontemps of ESPN

ANALYSIS: Even if Giannis doesn't sign an extension with the Bucks this offseason, Milwaukee will focus on building a championship-caliber roster around their reigning MVP in hopes of persuading Giannis to stay with the franchise long-term. The Bucks have no interest in shopping Antetokounmpo at this time. 

It is no secret that Antetokounmpo loves Milwaukee and the Bucks' fanbase, but Giannis wants to win championships and have a legendary career. He will have to decide if Milwaukee is the place where he can fulfill those dreams.