Villa will be without star striker Christian Benteke who limped off early in Saturday's 1-0 win over Norwich at Carrow Road.
Lambert said: "Football isn't a one-man game - if that was the case I'd play Christian by himself.
"I need everybody. That's what I've always said. If Christian does go down for a while and is injured then you want the others to step up, and that's what I'll be hoping for."
Lambert has admitted the upcoming City game is his main focus of attention and will rest other star names against Spurs, with Gabriel Agbonlahor and Antonio Luna set to sit out, and Jed Steer likely to replace Brad Guzan in goal.
Lambert told his club's official website: "We've played really hard teams in this opening spell - three teams you think will be round about there in Arsenal, Chelsea and Liverpool, and now we've got two more tough ones.
"The main one is Saturday but we'll do our best to get through the Tottenham tie."