Lazio and Spartak Moscow had also been credited with interest in the 29-year-old but Bremen chairman Marco Bode says he is “100 per cent” sure he will not leave.
“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.
Sturridge 9/2 first goalscorer v Arsenal
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.
Bremen suffered a 1-0 defeat at Hoffenheim on the opening weekend of the Bundesliga season and host Bayern Munich on Saturday.
