Wolves have lost their bid to have Jamie O'Hara's three-game ban reduced after their appeal was rejected by the Football Association.
O'Hara, who was sent off during Saturday's 3-1 defeat to Huddersfield, will miss Tuesday night's game against Hull City followed by the clashes with Charlton and Burnley.
The midfielder reacted angrily to a challenge from Terriers substitute Keith Southern and subsequently pushed him, leading to his dismissal.
Wolves had accepted the decision itself but were unhappy with the mandatory three-match ban and asked the FA for leniency in the matter.
Under FA rules a club may appeal the severity of a suspension if they feel there are extenuating circumstances, but in this instance the FA decided to reject the appeal and O'Hara will have to serve the full three-game ban.
Delph's girlfriend Natalie is due to give birth early next month and he is desperate to be present when the baby arrives.
But the 23-year-old former Leeds player, who scored an own goal in Saturday's 1-1 home draw with Fulham, has also stressed the importance of keeping himself available for Villa at the moment - something he is ready to prioritise if necessary.
"We have spoken about it and we know it's a possibility," Delph told the club's official website.
"It could happen as one of the games is about to go on. But this is a crucial part of the season and if I'm down to play in the games, I need to be playing.
"Natalie appreciates the situation and is 100% behind me.
"I want to see my baby being born and hope it happens. Ideally, it will happen on a Wednesday."
Villa are currently 17th in the table with five matches left to play, three points clear of 18th-placed Wigan, who have two games in hand over them.