Stevenson is now focused on the forthcoming matches at Aberdeen and Dundee United as Hearts continue their revival under Jim Jefferies.
"We'll see where we are when we make it through those games," said Stevenson.
David Obua headed Hearts in front 19 minutes into the second half of Sunday's match at Tynecastle and David Templeton doubled the lead with his first goal for the club late on.
We're just looking at ourselves and doing well, trying to maintain where we are.
The result took Hearts to within four points of fifth-placed Motherwell while Hamilton remain one point off the bottom of the Scottish Premier League table.
The Hamilton win was Hearts' second in a row since Jefferies returned as manager last month, but Stevenson, who arrived from Ayr United in the January transfer window, insisted he was not focusing on the results at other clubs as Hearts rebuild their season.
"I'm not really looking at Hibs or anything really above that," said Stevenson.
"We're just looking at ourselves and doing well, trying to maintain where we are.
"I think the next two games will be a big test, away to Aberdeen and away to Dundee United.
Jefferies's side also face tough matches against Motherwell, Hibs and Rangers and former Chelsea trainee Stevenson believes the new coaching staff have given Hearts renewed confidence for the future.
"Jim, Billy and Gary Locke have been excellent," said Stevenson.
"Jim's kind of breathed a bit of fresh air into the team and long may that continue."
Stevenson had a hand in both goals against Hamilton, but he admits he has still to produce his best form in the SPL after spending his entire professional career in the lower leagues.
"It's been difficult moving up and getting to know the players, obviously, coming from where I came from," he said.
"I'd been at Ayr for a long time, I knew the place inside out, and it's a bit strange when you come from there to Hearts, a club this size.
"I obviously wanted to get in and show what I could do as quickly as possible."
Source: BBC Sport