Delph will be suspended for the crucial games after picking up his 10th yellow card of the season in Monday night's defeat to Manchester City.
Delph told Villa's official website: "I'm disappointed as I've started to get a run in the team and I want to do my best for the team.
"I want to be there playing games, not sat at home watching. I'll be a nervous wreck watching. I prefer to be out there giving the boys a hand."