esperábamos que el habría hecho...

Hola Emanuel

Despite using the conditional in the English sentence "We were hoping that he would do...", in Spanish we can't.  To express "To hope that someone will do/would do something" we need the subjunctive:

I hope this helps,

Saludos, 

Inma

Emanuel

Also, the Pluperfect subjunctive can be used here for: "We were hoping that he would arrive soon...":

Esperábamos que él hubiera/hubiese llegado pronto. (Pluperfect subjunctive)

Inma