Ambitions are high at the Red Devils, where owner Dr Marwan Koukash has funded some big-name signings.
The club are currently in fourth place in the table, despite losing to Leeds last time out.
“We want to make them a top-four club, and I want to make them one,” Harris told the BBC Super League Show.
“Progress will take a lot of time, but we’re heading in the right direction.
“The results over Easter show that now we are looking to get some consistency.”