The Hillsborough club head into Sunday’s clash with Bristol City 11 points off second-placed Leeds, who let a three-goal lead slip at home to Cardiff last weekend.
West Brom are a further two points ahead and it is has been suggested that the pair are likely occupy the top spots for the rest of the season.
But Reach, who’s eye-catching display in the 4-0 thrashing of Nottingham Forest on Saturday represents a timely return to form, believes the top two are catchable.
He said: “The way we are going we want to be chasing the front two rather than looking over our shoulders and seeing who is coming up behind us.
“We need to close that gap on West Brom and Leeds because I think we are more than capable of doing it.”
Wednesday go into this weekend’s clash with the Robins hoping to stretch an unbeaten run of five league matches.
City have tumbled from the play-off places having lost their last two matches, while the Owls sit fifth, a solitary point behind third-placed Preston.
A busy Christmas period looks key for Wednesday, who travel to Stoke on Boxing Day followed by back-to-back home clashes with Cardiff and Hull.
And Reach says the players are all too aware of the effect the next few weeks could have on the season, calling on the Hillsborough faithful to play their part.
He said: "Every set of games is important but I really do think the set of games coming up now is vital.
"With the Hillsborough crowd behind us, I think we can do well.
"We have to be defensively sound but the fans will get behind us and if we can be ruthless on the break then we can continue this unbeaten run and go into the New Year in a solid position in the play-offs.”