Following a poor start to the campaign, Louis van Gaal's men have found their stride in recent weeks, picking up a 3-0 victory over fierce rivals Liverpool at Old Trafford last time out.
The sequence has seen United haul themselves back into the title race and the 20-time English champions sit eight points adrift of leaders Chelsea in third.
Local rivals Manchester City are three points closer and a win at Villa Park this weekend would keep the pressure on Manuel Pellegrini's side, who have also hit a run of form of late.
United will take huge confidence from their recent record against Villa, having fired 18 goals past the Birmingham-based outfit in the past three seasons, conceding just three in reply.
Lambert was boosted by the return to fitness of Fabian Delph for last weekend's 1-0 defeat at West Brom, while Ron Vlaar is in contention for a start, and the Scot is confident he has the players to cope with his current crisis.
"There's a few out," he said. "But I am not going to sit here and be negative about it.
"I have total belief that we will go out there and try to win a game of football.
"Fabian is coming back into the fray, Ron is back as well. We have got players who can hurt teams as well, that's for sure.
"The team I pick will be strong. We will go and try to win."
Offering an update on Kozak, who is nearing 12 months on the sidelines, Lambert added on Thursday: "Libor is doing alright. He had a scan yesterday.
"The bone is definitely getting stronger and healing. He's doing well but he's still a bit away."
