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Delph and Vlaar in contention for West Brom
The pair will both be assessed on Friday after coming through training this week ahead of the Baggies clash, with Lambert hopeful that his two star men can play some part on the weekend.
"Ron is coming back, he's been training this week, as has Fabian, which is good," he told the club's official website.
"We'll train on Friday and see how the lads are and how they feel. We'll gauge it by that but they've been training, Ron this week and Fabian for the last two weeks. Hopefully it goes and we can judge it then. We'll talk to the lads."
Cleverley remains a doubt
While Delph and Vlaar are heading the right way, midfielder Tom Cleverley remains a doubt for the West Brom match after aggravating a foot injury in Sunday's 2-1 home win over Leicester City.
The Manchester United loanee joins Philippe Senderos, Nathan Baker, Libor Kozak, Joe Cole and, more recently, Ashley Westwood in the treatment room, but Lambert remains hopeful that he will return in time for the weekend.
"We're having a spate of ups and downs with injuries at the moment. We've had another injury added to the list, with Westy being out which is a blow because he's been playing really well," he said.
"Tom Cleverley is another one who is a cause for concern but we'll have to wait and see, because he's got another two days before the match."
Villa eyeing Darren Fletcher?
Meanwhile, Villa's current injury crisis in midfield has seemingly moved them join Sunderland and Hull City in showing interest in Manchester United's Darren Fletcher, according to the Daily Mail.
The 30-year-old has six months left on his contract at Old Trafford and has seen his playing opportunities limited by the summer signings of Ander Herrera and Daley Blind.
While an injury to the latter has since seen him earn a regular spot on the bench, United are reportedly willing to let him leave the club this winter for regular first-team football elsewhere.
The Scotland international himself is said to assessing his options at this point in time, with Villa among the clubs prepared to swoop if he does opt for pastures new in the coming weeks.