All three players missed the midweek Champions League draw against Dynamo Kiev and it was hoped they would come into contention for the clash at The Reebok this weekend.
However, all three have been ruled out although boss Arsene Wenger hopes to have Nasri and Silvestre back for the home game against Hull on September 27 while Diaby is still a few weeks from a return.
"For Diaby, I would say two more weeks, Silvestre and Nasri should be available for Hull," Wenger told the club's website.
On his plans to change his side around against the Trotters, Wenger added: "There will be a little bit of rotation of course, because it was a very physical game (against Kiev) and we had to give absolutely everything. But I cannot tell you yet how it will work."
Wenger has also revealed both Tomas Rosicky and Eduardo are making good progress from their long-term injuries although the pair remain some way off a return to action.
Rosicky has not played since January because of a problematic hamstring injury while Eduardo broke his leg at Birmingham in February but Wenger says the pair are recovering well.
"He (Rosicky) is not close to playing again and he has not had any real setback, but the evolution (of his injury) is very slow," he said.
"The recovery process is slower than we expected at the start. It doesn't look worrying but the delay is longer than expected.
"He had a re-attached tendon that was loose in his hamstring, and that demands a lot of time to re-coordinate the movements of the hamstring.
"But I am optimistic that before Christmas you will see him in a good shape."
On Eduardo, he added: "He is still very much on course and he could be a very good surprise because he is a little ahead of schedule."
Arsenal last week