Houllier was without the duo for Sunday’s 2-1 win against Wolves, his first Premier League game since taking over the helm at Villa Park two weeks ago, but expects them to recover in time from their injuries.
Dunne missed the trip to Molineux with a knee injury whilst target man Carew complained of a back problem prior to Sunday’s clash.
"I think Richard will start training on Tuesday, don't forget he's kept his fitness all right, and he will join on Wednesday with the rest of the lads,” Houllier told the club's official website.
"John will train Wednesday. John, I think, got injured doing some weights.”
However, the Frenchman doesn’t expect to have striker Gabriel Agbonlahor available for the trip to White Hart Lane, with the England man still struggling to overcome a groin injury sustained in the League Cup win against Blackburn Rovers.
He said: "My concern is Gabby, because again he has felt his groin. We will have to investigate a bit more.
"The problem with his calves has gone, now it's gone up his body."