Hearts play four of their next six league games at Tynecastle, where they are still unbeaten in the league.
McInnes says that form is something they can “take encouragement” from, as well as the fact four of their pre-split games are against bottom-half sides.
The next challenge is against sixth-place Falkirk, who did triumph at Hearts’ home in the Scottish Cup after a penalty shootout last month.
McInnes believes every match requires full focus, and is looking for his squad to improve.
“All I’m looking for now is to try and get a wee bit more from some at this stage of the season,” he said.
“We just need to try and up the ante a wee bit if we can and get a better performance.
“Because these games, they do give us opportunities, particularly the games at Tynecastle.”
Oisin McEntee, who went off at Ibrox with a shoulder injury, will miss the Falkirk match but is expected to be fit for the visit of Aberdeen next week.
