"We want a strong team and will not let him go," Bode told Sky Sports.
Kruse scored 15 goals in 23 league games for Bremen last season, helping them to achieve an eighth-place finish.
He had been touted as a potential target for both Chelsea and Liverpool, who have been searching for depth up front this summer.
But the Reds have Daniel Sturridge fit and ex-Chelsea youngster Dominic Solanke in their first-team squad, meaning they may be more likely to consider offers for Divock Origi than add another forward before the deadline.
Chelsea have been linked with a move for a third striker but Swansea City target man Fernando Llorente has been the name most commonly mentioned in connection with Antonio Conte's men.