Andy Webster hopes that Hearts can revive their European push after stuttering form in recent weeks.
The Gorgie side need to secure at least one more point to guarantee their position in the top six after the split, and have a Scottish Cup semi-final with Celtic to look forward to next month.
However, they have not managed back-to-back victories since January and have only won two of their last eight matches. Webster hopes that the team can pick up their form for a final push towards European football.
The defender said: "There's definitely room for improvement.
"There's a wee bit to go yet, so hopefully over the remaining games of the season we can show a good bit of form and a level of consistency.
"From a player's point of view, top six is probably the bare minimum, with the size of the club and the players we've got. We should definitely be looking higher up.
"We're more than capable of beating anybody. If we get on a good run between now and the end of the season we can progress up the league."
Hearts currently sit in sixth position in the league, four points behind Dundee United and seven behind St Johnstone.
While Webster has loftier ambitions for the team, his manager believes that securing a top six finish is the more immediate goal.
Webster added: "That (top six) is our priority at the minute. The home game against Aberdeen on Saturday is very important for us. Hopefully we can win that one.
"Away to Dunfermline's going to be another tricky one. They're fighting relegation, it's going to be extremely difficult, but they are two games we're more than capable of winning."