The Steelmen extended their lead over Celtic to three points with a 1-0 win at Hibernian, their third victory in a row, but Higdon believes that come the end of the season the Glasgow giants will occupy the top two positions.
Higdon said: "I don't think we are good enough to split them but it's nice to be in between them at the moment.
"You want to beat Celtic and Rangers when you play against them but they win the majority of their games. You take them two out of it and try and be the best of the rest.
"We don't deal with the expectations; we don't know what to do with it really. We're just enjoying the football and we're looking forward to the next game.
"When you get that winning feeling it's like a bug and you want to feel it again. That's what we strive for."