The Tigers boss, buoyed by a conclusive eight-try win at Wakefield, says Cas have the attacking flair to cause the Rhinos problems.
Tomorrow's match in Leeds is Castleford's final away game of the campaign and a win would keep alive the team's bid to avoid the wooden spoon ahead of home games against Warrington the following Sunday and Bradford on September 7.
The Rhinos dug deep to win a fiery clash with the Bulls last Friday and must win if they are to overhaul Saints in the chase for the League Leaders Shield.
But Matterson said Cas are also hungry for success - and are keen to make amends for the last visit to Headingley when a depleted Rhinos outfit scored a surprise 18-12 triumph.
"I think it's a winnable game," he said. "We'll have to play well but I think we've got the game to trouble them. I'm under no illusions about the size of the task but the boys are excited about going there.
"There'll be close to 20,000 watching, it's a great stage to play on and we've got nothing to be scared of.
"It will be a tall order not to finish last but if we get a win at Headingley, you never know. We've got two home games to finish and it would be great to go into the back of those on the back of successive away wins.
"Leeds really toughed it out against Bradford and their class showed in the end. We're going there following a disappointment last time, when we were in a very good position to win but let it slip. We need to try and make up for that one.
"We need to show the similar kind of urgency and energy we showed against Wakefield. Everyone knows we can play some good rugby with the ball in hand but we can't afford to give Leeds a leg up like we did last time."
Cas came from 12-0 down to notch their sixth win of the season at Belle Vue on Sunday - their first over the Wildcats in ten attempts.
Ball security was the winning formula, the Cas boss said: "Wakefield started well. We were a bit soft at the start but they had two opportunities and took both. But we didn't panic, started completing some sets and once we got on a roll, we were pretty hard to stop. It was a real professional performance.
"I knew they'd come out and have a crack at us after the break but we started the half really well and put the game to bed early.
"Our bench was outstanding, the forwards laid the platform in the middle and the backs got the cream - and that's how it should be.
"The second-half pleased me. We didn't throw the ball around ridiculously. We were prepared to go to last play and make sure they had to come down from the other end. Too many times this year when we've got confident we haven't known when to play and when to be conservative. We got the balance right."
Matterson keeps faith with the 17 that crushed Wakefield for tomorrow's game.
Brent Sherwin was included in a 19-man squad named yesterday, despite being troubled by a foot injury. The half-back, rated a doubt earlier this week, is expected to have a fitness test later today.
But Ryan Boyle misses out again - the prop is carrying a leg injury - and Michael Korkidas and Mark Leafa are included in the 19.
Pack man Craig Huby is in line to make his 100th career appearance.
l Brendan Hlad left Cas to join Gateshead Thunder late last week. The 21-year-old Aussie made only three substitute appearances following his arrival in April.